Question

Simplify ) ^{x - 1} " alt=" log_{9}(9) ^{x - 1} " align="absmiddle" class="latex-formula">

Answer 1

$\bf \textit{Logarithm Cancellation Rules} \\\\ \boxed{log_a a^x = x}\qquad \qquad a^{log_a x}=x\\\\ -------------------------------\\\\ log_9\left( 9^{x-1} \right)\implies x-1$

Answer 2

$Use:\\\log_ab^n=n\log_ab\\\\\log_aa=1\\--------------------\\\log_99^{x-1}=(x-1)\log_99=x-1$