SOLUTION: 8^x=1/32 Solve for X

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Question 1176551: 8^x=1/32 Solve for X
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Rewrite the equation so that the bases are the same; then the exponents will be the same.

8%5Ex+=+%282%5E3%29%5Ex+=+2%5E%283x%29
1%2F32+=+1%2F2%5E5+=+2%5E%28-5%29

So

2%5E%283x%29+=+2%5E%28-5%29
3x+=+-5
x+=+-5%2F3

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+8%5Ex=1%2F32+
+%282%5E3%29%5Ex=1%2F2%5E5+
+2%5E%283x%29=2%5E-5+......if bases same, exponents are same too
+3x=-5+
+x=-5%2F3+