SOLUTION: hello, okay my question is from college algebra, and its a blitzer book. the direction are express each side as a power of the same base and then equate exponents.

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Question 190331: hello, okay my question is from college algebra, and its a blitzer book. the direction are express each side as a power of the same base and then equate exponents.

6 x-3 = square root of 6
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4 okay the x-3 over 4 is small and by the 6 . thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean like this?
6%5E%28%28x-3%29%2F4%29+=+sqrt%286%29
The base on each side is 6.
The sqrt%286%29 can be expressed with an exponent as 6%5E%281%2F2%29 so we have...
6%5E%28%28x-3%29%2F4%29+=+6%5E%281%2F2%29 Now because the bases (6) are equal, then the exponents are equal, so...
%28x-3%29%2F4+=+1%2F2 To solve for x, multiply both sides by 4.
x-3+=+4%2F2 Add 3 to both sides.
x+=+2%2B3
highlight%28x+=+5%29