For this case we must find the value of the variable "x" of the following equation:
[tex]y = 10^{x}[/tex]
We rewrite the equation as:
[tex]10 ^ {x} = y[/tex]
We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.
[tex]log (10 ^ {x}) = log (y)\\x (log (10)) = log (y)[/tex]
The logarithmic base 10 of 10 is 1.
[tex]x * 1 = log (y)\\x = log (y)[/tex]
ANswer:
[tex]x = log (y)[/tex]
