Answer
$x=2$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
3x=7^{\log_7 6}
,$ use the properties of logarithms to find an equivalent expression for the logarithmic expression. Then use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using a property of logarithms which is given by $b^{\log_b x}=x,$ the equation above is equivalent to
\begin{array}{l}\require{cancel} 3x=6
.\end{array}
Using the properties of equality to isolate the variable results to
\begin{array}{l}\require{cancel}
x=\dfrac{6}{3}
\\\\
x=2
.\end{array}
