SOLUTION: 5.3
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
4^x+7 =16^x-4
The solution set is { }
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Question 1014354: 5.3
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
4^x+7 =16^x-4
The solution set is { }
I got 15. Is this correct?
Found 2 solutions by ikleyn, rothauserc:
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
4^x+7 =16^x-4
The solution set is { }
I got 15. Is this correct?
---------------------------------------
This is correct.
Great job!
Your equation is = .
Next time use parentheses when submit posts like this one.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
if your problem is 4^(x+7) = 16^(x-4), you are correct since
16^(x-4) = (4^2)^(x-4) = 4^(2x-8), then
4^(x+7) = 4^(2x-8)
x+7 = 2x-8
x = 15
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