SOLUTION: Solve for x: 2logbase4(2x)-logbase4(3x-5)=logbase3 (9)???

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Question 132616: Solve for x:
2logbase4(2x)-logbase4(3x-5)=logbase3 (9)???

Answer by mathispowerful(115)   (Show Source): You can put this solution on YOUR website!

Solution:
Rewrite the equation:



Replace 2 by since they are equal and we need base 4 log.
So we get

Compare the two sides, we get

Then multiply 3x-5 on both sides:


divide by 4 on both sides:

expand it and write into standard form:

Factor left side:
(x-10)(x-2)=0;

So x=10 or x=2.
That's it!

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