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Solve the logarithmic equation ​

Solve the logarithmic equation ​-example-1
User Om Rastogi
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The solution to the logarithmic equation
\(\log_x(512) = 3\) is x = 8.

To solve the logarithmic equation
\(\log_x(512) = 3\), we can rewrite it in exponential form. The logarithmic equation is essentially saying "the logarithm base x of 512 is equal to 3." So, in exponential form:


\[ x^3 = 512 \]

Now, we want to find the values of x that satisfy this equation. In this case, x is the cube root of 512:


\[ x = \sqrt[3]{512} = 8 \]

So, x = 8 is the solution to the logarithmic equation
\(\log_x(512) = 3\).

User Ndoogan
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