Intermediate Algebra for College Students (7th Edition)

$x=10$
RECALL: $\log_b{a}=y \longrightarrow b^y=a$ With $a=x-1$ and $b=3$, use the rule above to the given expression to obtain: $3^2=x-1 \\3(3)=x-1 \\9=x-1$ Add $1$ on both sides of the equation to obtain: $10 =x$