If a = by, then y= ?
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Correct Answer: Option A
Explanation:
Given the equation \( a = b^y \), to solve for \( y \), you need to use logarithms. Taking the logarithm base \( b \) of both sides, you get:
\[
\log_b(a) = \log_b(b^y)
\]
Using the logarithm power rule, this simplifies to:
\[
\log_b(a) = y
\]
So:
\[
y = \log_b(a)
\]
The correct answer is:
A. \(\log_b(a)\)
Given the equation \( a = b^y \), to solve for \( y \), you need to use logarithms. Taking the logarithm base \( b \) of both sides, you get:
\[
\log_b(a) = \log_b(b^y)
\]
Using the logarithm power rule, this simplifies to:
\[
\log_b(a) = y
\]
So:
\[
y = \log_b(a)
\]
The correct answer is:
A. \(\log_b(a)\)