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.)
Click here to watch the video.opens in a new tab
Solve the logarithmic equation.
log Subscript 5 Baseline x equals 4
Question content area bottom
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.
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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