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

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!
RELATED QUESTIONS
Solve for x: logbase2(logbase3(logbase4... (answered by stanbon,josmiceli)

solve the following equation: logbase4(s^2-9)-logbase4(x+3)=3 logbase9 x + 3... (answered by longjonsilver)

SOLVE for x: a) logbase3 x + logbase3 (x-8)=2 b) logbase4 (x+2)+logbase4(x-4)=2 c)... (answered by edjones)

logbase3 (x-1) + logbase3 (x+1)=1 Solve for... (answered by josgarithmetic)

logbase3 (x+2) = logbase4 (x) Please help me to answer this question in preparation... (answered by Edwin McCravy)

Simplify:... (answered by jim_thompson5910)

I am in desperate need of help with a logarithm problem. It is as follows:... (answered by lwsshak3)

find x: logbase3... (answered by greenestamps)

Solve: logbase3(logbasex(logbase4 16)) = 1 Solve: 6^2logbase6 X + logbase6 X =125... (answered by stanbon)