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by **whitypkge** on Tue Jun 07, 2011 5:40 am

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)

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by **stapel_eliz** on Tue Jun 07, 2011 10:43 am

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. :wink:

The Purplemath Forums

Help solving exponential equation.

Help solving exponential equation.