Answer:
x = 44
Step-by-step explanation:
You can rewrite logarithm equations like so:
[tex]log_{b}(x) = y\\\\x = b^y[/tex]
A way to remember this is the base in the logarithm is also the base in the exponent - then remember this base b is to the power of what's on the other side - and all this is equal to whatever's in the parentheses.
In this case,
[tex]log_3(2x-7) = 4\\2x - 7 = 3^4\\x = (3^4 + 7)/2 = 44[/tex]
