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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