Solve: 6^2x-3 = 6^-2x+1
A. x= -1
B. x=0
C. x=1
D. x=4

C) x=1

Step-by-step explanation:

The given equation is :

6^2x-3 = 6^-2x+1

In such type of equations where the base value is same on both the sides of the equation we can directly equate their powers. As on both the sides the base value is same i.e 6.

So, equating the power of 6

By solving the equation we get x=1.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya