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Question

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Solve the logarithmic equation.
log Subscript 5 Baseline x equals 4
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Part 1
xequals
  
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​(Simplify your answer. Type an exact​ answer, using e as​ needed.)

Answer 1

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.