If 2^x - 2^x-2 = 3*(2)^13, What is the value of x?

[AfnanA455]

Instead of focusing on the LHS , we can try and simplify the RHS

LHS = 3 * 2^13

can be written as (2^2 - 1) * 2^13.

= 2^15 - 2^13.

now RHS = 2^x - 2^(x-2) = LHS = 2^15 - 2^13

therefore x = 15.

best approach!thank u

[RonPurewal]

.