[tex] \bf \textit{Logarithm Cancellation Rules}
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\boxed{log_a a^x = x}\qquad \qquad a^{log_a x}=x\\\\
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log_9\left( 9^{x-1} \right)\implies x-1 [/tex]
[tex] Use:\\\log_ab^n=n\log_ab\\\\\log_aa=1\\--------------------\\\log_99^{x-1}=(x-1)\log_99=x-1 [/tex]
