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16*8^x=(1/√2)^x^2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
               / 2\
               \x /
    x   /  1  \    
16*8  = |-----|    
        |  ___|    
        \\/ 2 /    
$$16 \cdot 8^{x} = \left(\frac{1}{\sqrt{2}}\right)^{x^{2}}$$
Gráfica
Respuesta numérica [src]
x1 = -16.0324435001241
x2 = -109.964987090676
x3 = -65.964987090676
x4 = -81.964987090676
x5 = -89.964987090676
x6 = -43.964987090676
x7 = -77.964987090676
x8 = -75.964987090676
x9 = -29.964987090676
x10 = -31.964987090676
x11 = -33.964987090676
x12 = -4.0
x13 = -27.964987090676
x14 = -73.964987090676
x15 = -95.964987090676
x16 = -55.964987090676
x17 = -71.964987090676
x18 = -67.964987090676
x19 = -93.964987090676
x20 = -23.964987090676
x21 = -99.964987090676
x22 = -85.964987090676
x23 = -47.964987090676
x24 = -41.964987090676
x25 = -51.964987090676
x26 = -57.964987090676
x27 = -25.964987090676
x28 = -105.964987090676
x29 = -59.964987090676
x30 = -97.964987090676
x31 = -63.964987090676
x32 = -39.964987090676
x33 = -103.964987090676
x34 = -87.964987090676
x35 = -21.9649870906794
x36 = -35.964987090676
x37 = -107.964987090676
x38 = -101.964987090676
x39 = -61.964987090676
x40 = -83.964987090676
x41 = -49.964987090676
x42 = -45.964987090676
x43 = -19.964987237113
x44 = -17.9653731706522
x45 = -91.964987090676
x46 = -53.964987090676
x47 = -2.0
x48 = -79.964987090676
x49 = -37.964987090676
x50 = -69.964987090676
x50 = -69.964987090676