SOLUTION: Hello, I have the following problem: (35/36)^24 and know the answer to be in the region of 0.518~ but am unsure how to arrive at this solution.

Algebra ->  Exponents -> SOLUTION: Hello, I have the following problem: (35/36)^24 and know the answer to be in the region of 0.518~ but am unsure how to arrive at this solution.      Log On


   

Question 758855: Hello, I have the following problem:
(35/36)^24
and know the answer to be in the region of 0.518~ but am unsure how to arrive at this solution.
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+35%2F36+%29%5E24+
I will choose
+n+=+%28+35%2F36+%29%5E24+
Take the log of both sides
+log%28n%29+=+log%28+%28+35%2F36+%29%5E24+%29+
+log%28n%29+=+24%2Alog%28+35%2F36+%29+
+log%28n%29+=+24%2A%28+log%2835%29+-+log%2836%29+%29+
+log%28n%29+=+24%2A%28+1.54407+-+1.5563+%29+
+log%28n%29+=+24%2A%28+-.01223+%29+
+log%28n%29+=+-.29352+
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Rewriting this:
+n+=+10%5E%28-.29352+%29+
+n+=+.50872+
Unless I made a math error

Answer by MathLover1(20855) About Me  (Show Source):