Write the equation in its equivalent exponential form.
\[
9=\log _{6} M
\]
What is the equivalent exponential form of the equation?
Answer
The equivalent exponential form of the equation is \(\boxed{6^9 = M}\).
Step 1 ：Write the equation in its equivalent exponential form: \(9=\log _{6} M\).
Step 2 ：The given equation is in logarithmic form. To convert it to exponential form, we need to remember that the base of the logarithm becomes the base of the exponent in the exponential form. The number on the other side of the equation becomes the exponent, and the result of the logarithm becomes the result of the exponentiation.
Step 3 ：So, the equivalent exponential form of the equation would be \(6^9 = M\).
Step 4 ：The equivalent exponential form of the equation is \(\boxed{6^9 = M}\).
