Question

What is the solution of the equationlog 2 (5x−2)=3

Answer 1

is that
\[\log_2(5x-2)=3\]?

Answer 2

the first step is to raise both sides of the equation to the power of two
\[\large2^{\log_2(5x-2)}=2^3\]
the left hand side will simplify
\[\color{red}{\cancel{\large2}^{\log_2\color{black}{(5x-2)}}}=2^3\]\[5x-2=2^3\]