# Solving logarithmic equations examples

Since we want to transform the left side into a single logarithmic equation, we should use

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## Exponential and Logarithmic Equations

Begin by isolating the logarithm on one side of the equation by multiplying both sides by –1: –7 = log ( [ H+ ]) Rewriting into exponential form yields the answer [ H+] = 10 –7 = 0.0000001 moles

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## Solving Logarithmic Equations

Example 7. Solve for x in the following logarithmic function log 2 (x – 1) = 5. Solution Rewrite the logarithm in exponential form as; log 2 (x – 1) = 5 x – 1 = 2 5. Now, solve for x in the algebraic

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## Solving Logarithm Equations

Let’s take a look at a couple of examples. Example 1 Solve each of the following equations. 2log9(√x)−log9(6x−1) = 0 2 log 9 ( x) − log 9 ( 6 x − 1) = 0 logx+log(x −1) = log(3x

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## Logarithmic Equations

The following diagrams show examples of solving equations using the power rule for logs. Scroll down the page for more examples and solutions on solving equations using logs. A-Level Maths : Logarithms : Equations 1 In this tutorial I

## Logarithmic Equations

log2(x +1)−log2(2−x) = 3 log 2 ( x + 1) − log 2 ( 2 − x) = 3 Solution. log4(−x) +log4(6 −x) = 2 log 4 ( − x) + log 4 ( 6 − x) = 2 Solution. log(x) =2 −log(x−21) log. ⁡. ( x) = 2 − log. ⁡.

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