Question

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

0=in(x+6)

Answer 1

`\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`