## Help solving exponential equation.

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

### Help solving exponential equation.

Solve the following exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation.

5^(2x+3)=3^(x+1)
whitypkge

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Joined: Tue Jun 07, 2011 5:22 am

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whitypkge wrote:Solve the following exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation.

5^(2x+3)=3^(x+1)

To learn how to solve exponential equations, please study this lesson. Note: You'll start the solution process by taking the logs of each side of the equation:

$\ln\left(5^{2x+3}\right)\, =\, \ln\left(3^{x+1}\right)$

$(2x\, +\, 3)\ln(5)\, =\, (x\, +\, 1)\ln(3)$

...and so forth.

stapel_eliz

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Joined: Mon Dec 08, 2008 4:22 pm

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