Question

Can someone help me? Solve. 5^2x-5=125

Answer 1

\(\large \bf 5^{2x-5}=125 ?\)

Answer 2

Yes

Answer 3

well.. any ideas on what's say \(\large 5^3=?\)

Answer 4

125?

Answer 5

so, we could say that \(\bf 5^{2x-5}=125\implies 5^{{\color{brown}{ 2x-5 }}}=5^{\color{brown}{ 3 }}
\\ \quad \\
\textit{that means that }\qquad 2x-5 = 3\)

Answer 6

same base on both sides
the exponents "must" be the same as well
thus they equal each other