SOLUTION: if {{{3log4(a-2)=(9/2)}}},then a=

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Question 31003: if 3log4%28a-2%29=%289%2F2%29,then a=
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
We have:
3log4%28a-2%29=%289%2F2%29
First let's divide by 3:
log4%28a-2%29+=+9%2F%282%2A3%29+=+9%2F6+=+3%2F2
The we use the following identity.
If logz%28x%29+=+y then x+=+z%5Ey
So, since we have log4%28a-2%29+=+3%2F2, this implies that
a-2+=+4%5E%283%2F2%29
a+=+4%5E%283%2F2%29+%2B+2

I hope this helps!
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