Question

Log de 4 na base 0,125
Como resolver??​

Answer 1

$0,125 = \frac{125}{1000} = \frac{1}{8}\\(\frac{1}{8} )^x = 4\\(\frac{1}{2^3} )^x = 4\\(2^{-3} )^x = 2^2\\2^{-3x} = 2^2\\-3x = 2\\3x = -2\\x = -\frac{2}{3}$