Problem

Convert to a logarithmic equation.
\[
10^{5}=100,000
\]

Answer

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Answer

Checking the solution, we can see that \(10^{5}\) indeed equals 100,000, so the solution is correct.

Steps

Step 1 :The given equation is \(10^{5}=100,000\).

Step 2 :We can convert this to a logarithmic equation using the definition of a logarithm.

Step 3 :The logarithm base 10 of 100,000 is 5, which can be written as \(\log_{10}100,000 = 5\).

Step 4 :So, the logarithmic form of the given equation is \(\log_{10}100,000 = 5\).

Step 5 :Checking the solution, we can see that \(10^{5}\) indeed equals 100,000, so the solution is correct.

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