Question

4^{2x}=256-16^x
please solve my question

Answer 1

Answer:

x=7/4

Step-by-step explanation:

4^(2x)=256-(16^x)

=(16^2)-(16^x)

=((4^2)^2)-((4^2)^x)

=(4^4) -(4^(2x))

4^(2x) +4^(2x) =4^4

2×(4^(2x)) =4^4

2×((2^2)^2x) =(2^2) ^4

2×(2^(4x)) =2^8

2^(4x) =2^7

Thus 4x=7

x=7/4