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

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) (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:

4^{2(2 - 5x)} = 4^{3(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 =

Hence, the solution.
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