The logarithmic equation y=log3x

passes through the point (a,2)
. What is the value of a?

1 answer

To find the value of \( a \) such that the point \( (a, 2) \) satisfies the logarithmic equation \( y = \log_3 x \), we can substitute \( y = 2 \) into the equation:

\[ 2 = \log_3 a \]

Now we need to convert the logarithmic equation to its exponential form. The equation \( \log_3 a = 2 \) means that:

\[ a = 3^2 \]

Calculating \( 3^2 \):

\[ a = 9 \]

Therefore, the value of \( a \) is:

\[ \boxed{9} \]