SOLUTION: Solve the equation by expressing each side as a power of the same base and then equating exponents. 4^x+10=8^x-6 the x+10 and x-6 are raised thank you

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation by expressing each side as a power of the same base and then equating exponents. 4^x+10=8^x-6 the x+10 and x-6 are raised thank you       Log On


   

Question 326704: Solve the equation by expressing each side as a power of the same base and then equating exponents.
4^x+10=8^x-6
the x+10 and x-6 are raised

thank you
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
4^(x+10)=8^(x-6)

(2^2)^(x+10)=(2^3)^(x-6)


2^(2(x+10))=2^(3(x-6))

2(x+10)=3(x-6)

2x+20=3x-18

20+18=3x-2x

38=x

x=38