Question

Solve x:3 power 3x+3 = 9 power x + 4

Answer 1

Answer:

$Hello !$

$3^{3x+3} = 9^{x+4}$

First, as x is in the power we have to make the base of both the sides equal,

$3^{3x+3} = 3^{2(x+4)}$

Now we can equate the powers,

$3x+3=2(x+4)$

$3x+3=2x+8$

Taking all the unknowns  to one side,

$3x-2x=8-3$

$x=5.$

Therefore, the value of x is  5.