Question
The logarithmic equation y=log3x
passes through the point (a,2)
. What is the value of a?(1 point)
a=
passes through the point (a,2)
. What is the value of a?(1 point)
a=
Answers
GPT-4o mini
To find the value of \( a \) such that the point \( (a, 2) \) lies on the curve defined by the equation \( y = \log_3 x \), we can substitute \( y \) with \( 2 \) in the equation:
\[
2 = \log_3 a
\]
To solve for \( a \), we can rewrite the logarithmic equation in its exponential form:
\[
a = 3^2
\]
Calculating this gives:
\[
a = 9
\]
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 this gives:
\[
a = 9
\]
Thus, the value of \( a \) is:
\[
\boxed{9}
\]