SOLUTION: can you please explain this to me in step by step form so hopefully i can understand this. log x 9/4 =2 please help me thank you julie

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: can you please explain this to me in step by step form so hopefully i can understand this. log x 9/4 =2 please help me thank you julie      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 119561: can you please explain this to me in step by step form so hopefully i can understand this.
log x 9/4 =2
please help me
thank you
julie
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Does this say: "log base x of 9/4 equals 2"? If it does, then...




log%28x%2C%289%2F4%29%29=2 Start with the given equation.


x%5E%282%29=9%2F4 Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


x=sqrt%289%2F4%29 Take the square root of both sides. Since you cannot take the log of a negative number, I'm going to exclude the negative answer.


x=sqrt%289%29%2Fsqrt%284%29 Break up the square root



x=%283%29%2Fsqrt%284%29 Simplify sqrt%289%29 to get 3


x=%283%29%2F%282%29 Simplify sqrt%284%29 to get 2



So our answer is x=%283%29%2F%282%29