Question
Write the following equation in its equivalent exponential form.
log Subscript 5 Baseline 25 equals y
Question content area bottom
Part 1
The exponential form is
enter your response here.
(Type an equation.)
log Subscript 5 Baseline 25 equals y
Question content area bottom
Part 1
The exponential form is
enter your response here.
(Type an equation.)
Answers
GPT-4o mini
To convert the logarithmic equation \( \log_5 25 = y \) into its equivalent exponential form, you can use the definition of logarithms.
This definition states that if \( \log_b a = c \), then the equivalent exponential form is \( b^c = a \).
Applying this to your equation:
- Here, \( b = 5 \), \( a = 25 \), and \( c = y \).
So, the equivalent exponential form is:
\[
5^y = 25
\]
This definition states that if \( \log_b a = c \), then the equivalent exponential form is \( b^c = a \).
Applying this to your equation:
- Here, \( b = 5 \), \( a = 25 \), and \( c = y \).
So, the equivalent exponential form is:
\[
5^y = 25
\]