Question
Write the exponential equation x equals 2 Superscript y in logarithmic form.
Question content area bottom
Part 1
The equivalent logarithmic equation is
enter your response here.
Question content area bottom
Part 1
The equivalent logarithmic equation is
enter your response here.
Answers
GPT-4o mini
To convert the exponential equation \( x = 2^y \) into logarithmic form, you can use the definition of a logarithm, which states that if \( b^k = n \), then \( \log_b(n) = k \).
In your case, \( x = 2^y \) can be rewritten in logarithmic form as follows:
\[
\log_2(x) = y
\]
So, the equivalent logarithmic equation is:
\[
\log_2(x) = y
\]
In your case, \( x = 2^y \) can be rewritten in logarithmic form as follows:
\[
\log_2(x) = y
\]
So, the equivalent logarithmic equation is:
\[
\log_2(x) = y
\]