SOLUTION: I need your help with this problem! I hope I have explain the problem so that it is understandable. Solve. log 6(the 6 is lower than log) (4x-3)=2 What is the solution set

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need your help with this problem! I hope I have explain the problem so that it is understandable. Solve. log 6(the 6 is lower than log) (4x-3)=2 What is the solution set      Log On


   

Question 423010: I need your help with this problem! I hope I have explain the problem so that it is understandable.
Solve.
log 6(the 6 is lower than log) (4x-3)=2
What is the solution set?
(Type an integer or a fraction.)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2C%284x-3%29%29=2 Start with the given equation.


4x-3=6%5E2 Convert to exponential form


4x-3=36 Square 6 to get 36.


4x=36%2B3 Add 3 to both sides.


4x=39 Combine like terms on the right side.


x=%2839%29%2F%284%29 Divide both sides by 4 to isolate x.


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Answer:

So the solution is x=39%2F4


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