Question
The logarithmic equation y =log_3 x
passes through the point (a,2)
. What is the value of a?(1 point)
passes through the point (a,2)
. What is the value of a?(1 point)
Answers
GPT-4o mini
To find the value of \( a \) for the point \( (a, 2) \) that lies on the logarithmic equation \( y = \log_3 x \), we substitute \( y = 2 \) into the equation:
\[
2 = \log_3 a
\]
To solve for \( a \), we can rewrite the logarithmic equation in its exponential form:
\[
a = 3^2
\]
Calculating \( 3^2 \):
\[
a = 9
\]
Thus, the value of \( a \) is
\[
\boxed{9}
\]
\[
2 = \log_3 a
\]
To solve for \( a \), we can rewrite the logarithmic equation in its exponential form:
\[
a = 3^2
\]
Calculating \( 3^2 \):
\[
a = 9
\]
Thus, the value of \( a \) is
\[
\boxed{9}
\]