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Solve the equation:
[tex]\mathsf{\ell og_5(3x+1)=2}\\\\\\
\mathsf{3x+1=5^2}\\\\
\mathsf{3x+1=25}\\\\
\mathsf{3x=25-1}\\\\
\mathsf{3x=24}\\\\
\mathsf{x=\dfrac{24}{3}}\\\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the answer.}
[/tex]
Solution set: S = {8}.
I hope this helps. =)
