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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
- Derivada de:
- f*(x)
-
Expresiones idénticas
- f*(x)=(log(x+ tres)/log(tres))
- f multiplicar por (x) es igual a ( logaritmo de (x más 3) dividir por logaritmo de (3))
- f multiplicar por (x) es igual a ( logaritmo de (x más tres) dividir por logaritmo de (tres))
- f(x)=(log(x+3)/log(3))
- fx=logx+3/log3
- f*(x)=(log(x+3) dividir por log(3))
-
Expresiones semejantes
- f*(x)=(log(x-3)/log(3))
-
Expresiones con funciones
- Logaritmo log
- log^24x−log4x^3+2=0
- log(4^x-b,2)=0
- Log42/x-1=log4(4-x)
- log(10,x)=2,7409
- log(x)=-11
- Logaritmo log
- log^24x−log4x^3+2=0
- log(4^x-b,2)=0
- Log42/x-1=log4(4-x)
- log(10,x)=2,7409
- log(x)=-11
f*(x)=(log(x+3)/log(3)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
log(x + 3)
f*x = ----------
log(3)
$$f x = \frac{\log{\left(x + 3 \right)}}{\log{\left(3 \right)}}$$
Gráfica
Suma y producto de raíces
[src]
suma
// / / -f*log(27) \\\ / / / -f*log(27) \\\ \ / / / -f*log(27) \\\ / / / -f*log(27) \\\ |\log(27)*re(f) + re\W\-f*e *log(3)///*im(f) \im(f)*log(27) + im\W\-f*e *log(3)///*re(f)| \im(f)*log(27) + im\W\-f*e *log(3)///*im(f) \log(27)*re(f) + re\W\-f*e *log(3)///*re(f) I*|---------------------------------------------------- - ----------------------------------------------------| - ---------------------------------------------------- - ---------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3) / \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3)
$$- \frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} + i \left(\frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}}\right)$$
=
// / / -f*log(27) \\\ / / / -f*log(27) \\\ \ / / / -f*log(27) \\\ / / / -f*log(27) \\\ |\log(27)*re(f) + re\W\-f*e *log(3)///*im(f) \im(f)*log(27) + im\W\-f*e *log(3)///*re(f)| \im(f)*log(27) + im\W\-f*e *log(3)///*im(f) \log(27)*re(f) + re\W\-f*e *log(3)///*re(f) I*|---------------------------------------------------- - ----------------------------------------------------| - ---------------------------------------------------- - ---------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3) / \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3)
$$- \frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} + i \left(\frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}}\right)$$
producto
// / / -f*log(27) \\\ / / / -f*log(27) \\\ \ / / / -f*log(27) \\\ / / / -f*log(27) \\\ |\log(27)*re(f) + re\W\-f*e *log(3)///*im(f) \im(f)*log(27) + im\W\-f*e *log(3)///*re(f)| \im(f)*log(27) + im\W\-f*e *log(3)///*im(f) \log(27)*re(f) + re\W\-f*e *log(3)///*re(f) I*|---------------------------------------------------- - ----------------------------------------------------| - ---------------------------------------------------- - ---------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3) / \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3)
$$- \frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} + i \left(\frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}}\right)$$
=
// / re(f)\ / / -f*log(27) \\\ / / / -f*log(27) \\ / im(f)\\ \ / / / -f*log(27) \\ / im(f)\\ / / re(f)\ / / -f*log(27) \\\
I*\\log\27 / + re\W\-f*e *log(3)///*im(f) - \im\W\-f*e *log(3)// + log\27 //*re(f)/ - \im\W\-f*e *log(3)// + log\27 //*im(f) - \log\27 / + re\W\-f*e *log(3)///*re(f)
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2 \
\im (f) + re (f)/*log(3)
$$\frac{i \left(\left(\log{\left(27^{\operatorname{re}{\left(f\right)}} \right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)} - \left(\log{\left(27^{\operatorname{im}{\left(f\right)}} \right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}\right) - \left(\log{\left(27^{\operatorname{re}{\left(f\right)}} \right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)} - \left(\log{\left(27^{\operatorname{im}{\left(f\right)}} \right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}}$$
(i*((log(27^re(f)) + re(LambertW(-f*exp(-f*log(27))*log(3))))*im(f) - (im(LambertW(-f*exp(-f*log(27))*log(3))) + log(27^im(f)))*re(f)) - (im(LambertW(-f*exp(-f*log(27))*log(3))) + log(27^im(f)))*im(f) - (log(27^re(f)) + re(LambertW(-f*exp(-f*log(27))*log(3))))*re(f))/((im(f)^2 + re(f)^2)*log(3))
Respuesta rápida
[src]
// / / -f*log(27) \\\ / / / -f*log(27) \\\ \ / / / -f*log(27) \\\ / / / -f*log(27) \\\
|\log(27)*re(f) + re\W\-f*e *log(3)///*im(f) \im(f)*log(27) + im\W\-f*e *log(3)///*re(f)| \im(f)*log(27) + im\W\-f*e *log(3)///*im(f) \log(27)*re(f) + re\W\-f*e *log(3)///*re(f)
x1 = I*|---------------------------------------------------- - ----------------------------------------------------| - ---------------------------------------------------- - ----------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3) / \im (f) + re (f)/*log(3) \im (f) + re (f)/*log(3)
$$x_{1} = - \frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} + i \left(\frac{\left(\log{\left(27 \right)} \operatorname{re}{\left(f\right)} + \operatorname{re}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{im}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}} - \frac{\left(\log{\left(27 \right)} \operatorname{im}{\left(f\right)} + \operatorname{im}{\left(W\left(- f e^{- f \log{\left(27 \right)}} \log{\left(3 \right)}\right)\right)}\right) \operatorname{re}{\left(f\right)}}{\left(\left(\operatorname{re}{\left(f\right)}\right)^{2} + \left(\operatorname{im}{\left(f\right)}\right)^{2}\right) \log{\left(3 \right)}}\right)$$
x1 = -(log(27)*re(f) + re(LambertW(-f*exp(-f*log(27))*log(3))))*re(f)/((re(f)^2 + im(f)^2)*log(3)) - (log(27)*im(f) + im(LambertW(-f*exp(-f*log(27))*log(3))))*im(f)/((re(f)^2 + im(f)^2)*log(3)) + i*((log(27)*re(f) + re(LambertW(-f*exp(-f*log(27))*log(3))))*im(f)/((re(f)^2 + im(f)^2)*log(3)) - (log(27)*im(f) + im(LambertW(-f*exp(-f*log(27))*log(3))))*re(f)/((re(f)^2 + im(f)^2)*log(3)))