Question 824803: Solve the exponential equation. Express the solution set in terms of natural logarithms.
4^x+4 = 5^2x+5 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Solve the exponential equation. Express the solution set in terms of natural logarithms.
4^(x+4) = 5^(2x+5)
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(x+4)ln(4) = (2x+5)ln(5)
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x*ln(4) + 4ln(4) = xln(5^2) + 5ln(5)
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x[ln(4)-ln(25)] = 5ln(5)-4ln(4)
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x[-1.8326] = 2.5020
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x = -1.3653
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Cheers,
Stan H.
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