Determine whether the value $x = \frac { 343 } { 8 }$ is a solution of the equation $\log _ { 49 } ( 8 x ) = \frac { 3 } { 2 }$ .
A)solution
B)not a solution

Question

Quizplus · Accepted Answer

Substituting $x=\frac{343}{8}$ into the equation yields:
\begin{align*}
\log_{49}\left(8\cdot\frac{343}{8}\right)&=\log_{49}(343)\
&=\frac{3}{2}
\end{align*}
Since the left-hand side and right-hand side are equal, we have shown that $x=\frac{343}{8}$ is a solution to the equation. Thus, the answer is (A).

Determine Whether the Value x=3438x = \frac { 343 } { 8 }x=8343​

Determine Whether the Value $x = \frac { 343 } { 8 }$