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The equation log x = 100 is another way of writing 10x = 100. This relationship makes it possible to remove logarithms from an equation by raising both sides to the same exponent as the base of the logarithm. If the equation contains more than one logarithm, they must have the same base for this to work.
To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. Example 1: Solve for x in the equation Ln(x)=8. Check: You can check your answer in two ways. You could graph the function Ln(x)-8 and see where it crosses the x-axis.
Step 1: bring all the logs on the same side of the equation and everything else on the other side. Step 3: Exponential to cancel the log (run the hook). Step 4: Solve for x. Step 5: Check your answer. Step 1: Take logs of both sides using one of the given bases.
Put in the base number e on both sides of the equation. E and LN cancel each other out leaving us with a quadratic equation. X = 0 is impossible as there is no way of writing 0 as a power. Write the left side as one logarithm.
0:12 1:25 Suggested clip How to simplify a base raised to a log with the same base without a YouTubeStart of suggested client of suggested clip How to simplify a base raised to a log with the same base without a

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