Question 1033284
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What does x equal in the following equations?

Solve for x.

{{{3^(x^2 + 4x)}}} = {{{3^(-4)}}}  --->  {{{x^2 + 4x}}} = {{{-4}}}  --->  {{{x^2 + 4x + 4}}} = {{{0}}}  --->  {{{(x+2)^2}}} = {{{0}}}  --->  x = -2.


Solve for x.

{{{4^(2x)}}} = {{{2^(3x + 2)}}}  --->  {{{2^(2*(2x))}}} = {{{2^(3x + 2)}}}  --->  2*(2x) = 3x + 2  --->  4x = 3x + 2  --->  x = 2.


Solve for x.

{{{8^(2x)}}} = {{{2^(2x + 8)}}}  --->  {{{2^(3*(2x))}}} = {{{2^(2x + 8)}}}  --->  3*(2x) = 2x + 8  --->  6x = 2x + 8  --->  4x = 8  --->  x = 2.
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