SOLUTION: Solve the following equations by expressing each side as a power of the same base and then equating exponents: 4^(3x+5)=1/256 and 4^(x+10)=8^(x-6)

SOLUTION: Solve the following equations by expressing each side as a power of the same base and then equating exponents: 4^(3x+5)=1/256 and 4^(x+10)=8^(x-6)

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Question 269060: Solve the following equations by expressing each side as a power of the same base and then equating exponents:
4^(3x+5)=1/256

and
4^(x+10)=8^(x-6)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4^(3x+5)=1/256

3x+5 = -4
x = -3
--------
and
4^(x+10)=8^(x-6)
Change to base 2
2^(2x+20) = 2^(3x-18)
You can finish it.

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