How to Solve This Logarithmic Problem?

[phy_]

show how

 

[rock.freak667]

You'll need these formulas

$$nlog_a b= log_a b^n$$

$$log_a b= log_a c \Rightarrow b=c$$

$$log_a x + log_a y = log_a xy$$

 

[rock.freak667]

if i use these formulas

log(x-3)/3 = 1/2(logxy)

i am not sure what i would then do to have the answer resemble x squared + y squared = 11xy.

you mean you'd get log(x-y/3)= 1/2log(xy)?

Use first formula on 1/2log(xy) and then apply the second formula.

 

[rock.freak667]

Yes.

$$\frac{x-y}{3} =(xy)^{\frac{1}{2}}$$

Square both sides now.

 

[phy_]

Thank-you very much. Question solved.