SOLUTION: I am a Grandma in a jam! I am trying to help my grandson figure out a couple of Algebra questions and I need help!! Can someone please show me the logorithimic form of the equation

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Question 105564This question is from textbook Intermediate Algebra
: I am a Grandma in a jam! I am trying to help my grandson figure out a couple of Algebra questions and I need help!! Can someone please show me the logorithimic form of the equation:
(1/3)^-4 = 81????? Help, Please. Thank YOu!
This question is from textbook Intermediate Algebra

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Write the given equation in logarithmic form.

Hint
Relate the exponential function to a logarithmic function.
1.
The exponential function is . The corresponding logarithmic function is
.
2.
The base is the same in both functions.
Hint
Substitute.
3.
Substitute: for , for , and for in the logarithmic function.

The logarithmic form of the equation is

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