Question

solving exponential equations
solve for x:
8 ^x+2= 16^x

Answer 1

how too find the answer

Answer 2

taking logs
(x+2) ln 8 = x ln 16
(x+2) / x =ln 16 / ln8 = 4/3
3x + 6 = 4x
x = 6

Answer 3

get the 8 and 16 to become the same base...
so 8 can be 2^3 ... and 16 can be 2^4
so right now...
(2^3)^(x+2) = (2^4)^x
since you have the same base, cancel them out
you now use the exponents as your equation...
3(x+2) = 4(x)
3x+2=4x
solve and you get x=6

Answer 4

yep - a good answer wendy