The logarithmic equation
[tex]\log _ab=y[/tex]can be written in an exponential equation
[tex]a^y=b[/tex]In the given equation, the values of a, b, and y are as follows:
[tex]\begin{gathered} a=10 \\ b=4x \\ y=2 \end{gathered}[/tex]Thus, it can be written as
[tex]10^2=4x[/tex]To solve for x, simplify the left side of the equation and then divide both sides of the equation by 4.
[tex]\begin{gathered} 100=4x \\ \frac{100}{4}=\frac{4x}{x} \\ 25=x \end{gathered}[/tex]Therefore, the value of x is 25.
