Question

Solve: 6^2х-3 = 6^-2x+1 x = -1 х = 0 x= 1 х = 4​

Answer 1

Answer:

$\huge \boxed {x = 1}$

Step-by-step explanation:

Both bases are the same so you will be able to solve the equation from exponent and exponent.

$2x - 3 = - 2x + 1 \\ 2x + 2x = 1 + 3 \\ 4x = 4 \\ x = 1$

Answer Check

Substitute x = 1 in the equation.

${6}^{2(1) - 3} = {6}^{ - 2(1) + 1} \\ {6}^{2 - 3} = {6}^{ - 2 + 1} \\ {6}^{ - 1} = {6}^{ - 1}$

Both are same each sides. Therefore the equation is true.