How do you solve $5^(-9.2x-9)-4=57$ ?

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Answer 1 · 2016-11-18T04:49:28

Isolate the term involving the variable, then take the $log_5$ of both sides.

$5^(-9.2x-9)-4=57$

$5^(-9.2x-9)=61$

$log_5(5^(-9.2x-9))=log_5 61$

$-9.2x-9=log_5 61$

$-9.2x=log_5 61+9$

$x=-(log_5 61+9)/9.2$

$(xapprox-1.2559)$

How do you solve 5^(-9.2x-9)-4=575^(-9.2x-9)-4=57?