How do you solve $8^(5x)=16^(3x+4)$ ?

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Answer 1 · 2016-07-23T13:23:40

$16/3$

The above equation can be rewritten as $2^(3(5x))=2^(4 (3x+4))$

From here we can use log base 2 to get

$15x=12x+16$
$x=16/3$

How do you solve 8^(5x)=16^(3x+4)8^(5x)=16^(3x+4)?