SOLUTION: Evaluate 5^(2x+3) = 3^(x-1) Get bases the same or use ln. The numbers in () are exponents.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Evaluate 5^(2x+3) = 3^(x-1) Get bases the same or use ln. The numbers in () are exponents.      Log On


   

Question 435006: Evaluate 5^(2x+3) = 3^(x-1)
Get bases the same or use ln. The numbers in () are exponents.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate 5^(2x+3) = 3^(x-1)
Get bases the same or use ln. The numbers in () are exponents.
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Changing the base 5 to base 3:
Let 3^k = 5
k = ln(5)/ln(3)
k = 1.4650
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Rewrite the problem:
3^[1.4650(2x+3)] = 3^(x-1)
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Equation to solve:
1.4650(2x+3) = x-1
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2.9299x+ 4.3949 = x-1
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1.9299x = -5.3949
x = -2.7954
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Cheers,
Stan H.
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