SOLUTION: Could you help me with this one please 2-5x x+4 Solve 16^ =64^ 16 to the power of 2-5x=64 to power of x+4 thank you for your time

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could you help me with this one please 2-5x x+4 Solve 16^ =64^ 16 to the power of 2-5x=64 to power of x+4 thank you for your time      Log On


   

Question 61910This question is from textbook
: Could you help me with this one please
2-5x x+4
Solve 16^ =64^
16 to the power of 2-5x=64 to power of x+4
thank you for your time This question is from textbook

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:
16^(2 - 5x) = 64^(x + 4)

16 can be written as 4^2 and 64 can be written as 4^3.

Hence, the above expression becomes:

42(2 - 5x) = 43(x + 4)

Since, the bases are same, we equate the powers.

2(2 - 5x) = 3(x + 4)


4 - 10x = 3x + 12

0 = 8 + 13x

13x = - 8

x = -8%2F13

Hence, the solution.