How to Solve for x in the Power Equation: 2.34=15.3*0.886^x

Thread starter CD01
Start date Aug 27, 2014
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Power

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To solve for x in the equation 2.34=15.3*0.886^x, first divide both sides by 15.3 to isolate the exponential term, resulting in 0.886^x = 2.34/15.3. Next, apply logarithms to both sides to facilitate solving for x. This method allows for the exponent to be brought down, enabling the calculation of x. Understanding logarithms is crucial for this process. The discussion emphasizes the importance of these steps in solving the equation effectively.

Aug 27, 2014

CD01

hey, so I just need to know the steps on how to slove for x in this equation
> 2.34=15.3*0.886^x
thanks.

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Aug 27, 2014

NascentOxygen

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Hi CD01. Welcome to the famous Physics Forums.

Do you know about logarithms?

Aug 27, 2014

HallsofIvy

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Ah more "sloving"! It should be an obvious first step to divide both sides by 15.3 to get
0.886^x= \frac{2.34}{15.3}

Now, as NascentOxygen said, use a logarithm.

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