SOLUTION: I need help with this problem: 3^log base 3 of 8 Any help would be greatly appreciated.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need help with this problem: 3^log base 3 of 8 Any help would be greatly appreciated.      Log On


   



Question 973081: I need help with this problem:
3^log base 3 of 8
Any help would be greatly appreciated.

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%28log%283%2C8%29%29

The exponential function and the logarithmic function are inverses of each other.

-
Again you must understand: INVERSES. THOSE ARE INVERSE FUNCTIONS. One undoes the other.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3%5E%28+log%28+3%2C8+%29+%29+
The difficulty here is reading the equation.
Remember that logs are exponents
This is telling you that +3+ is raised to an
exponent which also has a base +3+, and
the result of raising +3+ to this exponent
is +8+, so
+3%5E%28+log%28+3%2C8+%29+%29+=+8+
-----------------------
You could also do it this way:
+x+=+log%28+3%2C8+%29+
This is saying:
+3%5Ex+=+8+
and that brings me back to:
+3%5E%28+log%28+3%2C8+%29+%29+=+8+
Hope tthis helps