SOLUTION: Log(Downward exponent)3 1/81=-4 Rewrite as an exponential equation.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Log(Downward exponent)3 1/81=-4 Rewrite as an exponential equation.      Log On


   

Question 979103: Log(Downward exponent)3 1/81=-4
Rewrite as an exponential equation.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this it?
+log%28+3%2C+%281%2F81%29+%29+=+-4+
You have to read these carefully
Look at it this way:
It is saying:
log( something ) = -4
So, it is telling you that the right
side of the equation is a log and it is -4
----------------
Now all you need is the base. It tells you
the base is 3
----------------
So far, you have:
+3%5E%28-4%29+ = something
------------------------
All that is left is +1%2F81+, so
+3%5E%28-4%29+=+1%2F81+
This is true because:
+%281%2F3%29%2A%281%2F3%29%2A%281%2F3%29%2A%281%2F3%29+=+1%2F81+
Hope this helps