SOLUTION: Topic. Solving exponential equation Solve for x giving 16^x-5*8^x=0 (Please help me solve this question)

Algebra ->  Exponents -> SOLUTION: Topic. Solving exponential equation Solve for x giving 16^x-5*8^x=0 (Please help me solve this question)       Log On


   



Question 1110630: Topic. Solving exponential equation
Solve for x giving 16^x-5*8^x=0
(Please help me solve this question)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x giving [sic] 16^x-5*8^x=0
(Please help me solve this question)
-----
Solve for x given 16^x-5*8^x=0
(Please help me solve this question) - equations are solved. Questions are answered.
=================
16^x - 5*8^x = 0
---
(2^4)^x - 5*(2^3)^x = 0
2^(4x) - 5*2^(3x) = 0
2^(3x)*(x - 5*2) = 0
---
2^(3x) = 0 ------- not possible for real values of x
or
(x - 5*2) = 0
x - 10 = 0
x = 10