Question

Xlog5 - log125 = 0 solve for x. Asking for step by step answer.

Answer 1

Step-by-step explanation:

$x log(5) - log(125) = 0 \\ log( {5}^{x} ) - log(125) = 0 \\ log( \frac{5x}{125} ) = 0 \\ \frac{ {5}^{x} }{125} = 1 \\ {5}^{x} = 125$

$log( {5}^{x} ) = log(125) \\ x log(5) = log(125) \\ x = \frac{ log(125) }{ log(5) } = 3$