Question

Solve log(4x)=2. thank you!

Answer 1

The logarithmic equation

`\log _ab=y`

can be written in an exponential equation

`a^y=b`

In the given equation, the values of a, b, and y are as follows:

`\begin{gathered} a=10 \\ b=4x \\ y=2 \end{gathered}`

Thus, it can be written as

`10^2=4x`

To solve for x, simplify the left side of the equation and then divide both sides of the equation by 4.

`\begin{gathered} 100=4x \\ (100)/(4)=(4x)/(x) \\ 25=x \end{gathered}`

Therefore, the value of x is 25.