Question

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8^(-x-2)=237

Answer 1

\[8^{(-x-2)}=237\]

Answer 2

Take the log8 of both sides.\[\log_{8} 8^{(-x-2)}=\log_{8} 237\] \[-x-2=\log_{8} 237\]\[-x=\log_{8} +2\]\[x=\frac{ \log_{8}+2 }{ -1 }\]
Change the base of log8

\[x=\frac{ -\ln 237 }{ \ln 8 }-2\]