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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

Write the given equation in logarithmic form.
%281%2F3%29%5E-4+=+81
Hint
Relate the exponential function to a logarithmic function.
1.
The exponential function is y+=+bx. The corresponding logarithmic function is
x+=+log%28b%29y.
2.
The base b is the same in both functions.
Hint
Substitute.
3.
Substitute: -4 for x, 1%2F3 for b, and 81 for y in the logarithmic function.
-4+=+log%281%2F3%2981
The logarithmic form of the equation is +log%281%2F3%2981=+-4