Question

3^(x+2) = 3^x + 216 find x

Answer 1

Answer:

3.84 is your answer, it may be wrong

Answer 2

Answer:

X=3 if question is 3^(x+2)=3^x+216

Step-by-step explanation:

3$x^{x+2}$ = $3x^{x}$ + 216

3$x^{x+2}$ = $3x^{x}$ + 6x6x6x

$3^{x}$ x $3^{2}$ = $3^{x}$ + 3x2x3x2x3x2

$3^{x}$ x $3^{2}$ = $3^{x}$ + $3^{3}$x $2^{3}$

$3^{x}$ x $3^{2}$ - $3^{x}$ =  $3^{3}$x $2^{3}$

$3^{x}$ ($3^{2}$-1) = $3^{3}$x $2^{3}$

$3^{x}$ (9-1) = $3^{3}$x $2^{3}$

$3^{x}$  x 8 = $3^{3}$x $2^{3}$

$3^{x}$ = $\frac{3^{3x 2^{3} } }{8}$

$3^{x}$ = $3^{3}$

x = 3