How do you write an equation of a line going through 16^(5x)= 64^(x+7)?

Jun 21, 2016

$x = 3$

Explanation:

16^(5x)=64^(x+7) ?

${2}^{4 \left(5 x\right)} = {2}^{6 \left(x + 7\right)}$

$4 \left(5 x\right) = 6 \left(x + 7\right)$

$20 x = 6 x + 42$

$20 x - 6 x = 42$

$14 x = 42$

$x = 3$