Question

if 6 raise to power x ,+ 6 raise
to power x minus 1 equals to 252 find x​

Answer 1

Answer:

x =3

Step-by-step explanation:

given, $6^{x}$ + $6^{x-1}$  = 252

=> $6^{x}$ ( 1 + $\frac{1}{6}$ ) = 252

=>  $6^{x}$ ( $\frac{7}{6}$ ) = 252

=>  $6^{x-1}$  = 252/7

=>  $6^{x-1}$  = 36 = $6^{2}$

=> x-1 = 2

=>  x = 2+1 = 3