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Solve this equation for x. Round your answer to the nearest hundredth.

0=in(x+6)

1 Answer

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\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^(log_a x)=x ~~ ~~ \leftarrow \textit{let's use this one} \end{array} \\\\[-0.35em] ~\dotfill\\\\ 0=\ln(x+6)\implies 0=\log_(e)(x+6)\implies e^0=e^{\log_(e)(x+6)}\implies e^0=x+6 \\\\\\ 1=x+6\implies -5=x

User Denis Chmel
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