Question

Solve for x:
8^(5x-10)=(1/16)^(2x-7)

Answer 1

Can you explain how you got to that?

Answer 2

u can do this

Answer 3

2^3^(5x-10) = (2^-4)^(2x-7) since 8 =2^3 and 1/16= 2^-4

Answer 4

so u get 2^15x-30 = 2^-8x+28

Answer 5

now ur bases are the same so u only have to equate the indices

Answer 6

15x-30= -8x+28

Answer 7

Ok.That makes sense. Thanks a lot.

Answer 8

23x=58 x=2.52