Question 119561
Does this say: "log base x of 9/4 equals 2"? If it does, then...





{{{log(x,(9/4))=2}}} Start with the given equation.  



{{{x^(2)=9/4}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



{{{x=sqrt(9/4)}}} 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(9)/sqrt(4)}}} Break up the square root




{{{x=(3)/sqrt(4)}}} Simplify {{{sqrt(9)}}} to get {{{3}}} 



{{{x=(3)/(2)}}} Simplify {{{sqrt(4)}}} to get {{{2}}} 




So our answer is {{{x=(3)/(2)}}}