Question

Watch the video and then solve the problem given below.
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Solve the logarithmic equation.
log Subscript 5 Baseline x equals 4
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Part 1
xequals
  
enter your response here
​(Simplify your answer. Type an exact​ answer, using e as​ needed.)

Answers

Answered by GPT-4o mini
To solve the logarithmic equation \( \log_5 x = 4 \), we first convert the logarithmic expression into its exponential form.

The expression \( \log_5 x = 4 \) translates to:
\[
x = 5^4
\]

Now, calculate \( 5^4 \):
\[
5^4 = 625
\]

Thus, the solution to the equation \( \log_5 x = 4 \) is:
\[
x = 625
\]

Please enter \( 625 \) as your response.
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