Question

find the value of x 8 power x divided by 512 is equal to 8 power 6

Answer 1

$\frac{ {8}^{x} }{512} = {8}^{6}$
$512 = {8}^{3}$
$so \\ \frac{ {8}^{x} }{ {8}^{3} } = {8}^{6}$
$\frac{ {8}^{x} }{ {8}^{3} } = {8}^{x} - {8}^{3} = {8}^{6}$
$so \: now \: we \: can \: write \\ x - 3 = 6 \\ x = 6 + 3 \\ x = 3$
hope it helps mark it brainliest

Answer 2

howdy !!

your answer is in this pic☝☝☝

8^x/512 = 8^6

=> 8^x/8^3 = 8^6

=> 8^x = 8^6+3 = 8^9
base is same

therefore ,

x = 9


hope it help you