Answer
The statement is false.
To make it true, replace the last equation with
$10^{4}=\displaystyle \frac{7x+3}{2x-5}$
Work Step by Step
No.
Before writing in exponential form, the LHS must be written as one logarithm.
This is achieved by applying the quotient rule:
$\displaystyle \log\frac{7x+3}{2x-5}=4$
Now we write this in exponential form using
$y=\log_{b}x \Leftrightarrow x=b^{y}$,
$10^{4}=\displaystyle \frac{7x+3}{2x-5}$
