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 105563This 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(1/3)^-4 = 81
:
Use the log equivalent of exponents
log((1/3)^-4) = log(81);
:
-4*log(1/3) = log(81); this may be what they are looking for, but continuing
:
Find the log of 1/3 and 81
:
-4 * -.477 = 1.908
:
+1.908 = 1.908; confirms the equation as tru