Expert Answers
quirozd eNotes educator| Certified Educator

I assume that you mean:


First take the log of both sides:


Then use the properties of logarithms to help us:






So our equation becomes:


Now, we trudge through the math to isolate x on one side:




:. x = (log(3)-2log(7))/(2log(5)-3log(7))

Either punch the above into a calculator, or further reduce using the log properties in reverse.

`x = log(3/7^2)/log(5^2/7^3)=log(3/49)/log(25/343)`

`x ~~ 1.07`

Check our answer:



(we use the original result in our calculator to check, rather than the rounded one)

Answer: `x~~1.07`

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