![\bf \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{f(x)}{y}=3\left( 2^{x+3} \right)-4\implies \stackrel{\textit{quick switcheroo}}{x=3\left( 2^{y+3} \right)-4}\implies x+4=3\left( 2^{y+3} \right)](/tpl/images/0016/8150/30926.png)
![\bf \cfrac{x+4}{3}=2^{y+3}\implies \log\left( \cfrac{x+4}{3} \right)=\log\left( 2^{y+3} \right) \\\\\\ \log\left( \cfrac{x+4}{3} \right)=(y+3)\log\left( 2 \right)\implies \cfrac{\log\left( \frac{x+4}{3} \right)}{\log(2)}=y+3 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{\log\left( \frac{x+4}{3} \right)}{\log(2)}-3=\stackrel{f^{-1}(x)}{y}~\hfill](/tpl/images/0016/8150/03dcf.png)
Need find the inverse of this logarithm function ❤️ only if ur good at
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Mathematics, 25.06.2019 20:00 isaloopsy
Need find the inverse of this logarithm function ❤️ only if ur good at
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