Posted by **hemant** on Friday, May 24, 2013 at 5:30am.

x and y are positive real numbers that satisfy logxy+logyx=174 and xy=2883√. If x+y=a+bc√, where a, b and c are positive integers and c is not divisible by the square of any prime, what is the value of a+b+c?

- maths -
**Reiny**, Friday, May 24, 2013 at 7:59am
Having posted the same problem three times and not

getting a response should have given you a hint, that there might be something wrong with the question, or the way you typed it.

e.g. 2883√ makes no sense, the √ is not written behind the number

which makes x+y = a + bc√ completely ambiguous.

I will start it off:

logxy+logyx=174

the way you typed it .....

2 log xy = 174

log xy = 72

xy = 10^72 ---- huge!!

but assuming xy = √2883

so √2883 = 10^72 ??? , not likely

I have a feeling you meant:

log_{x}y + log_{y}x = 174

- maths -
**hemant**, Friday, May 24, 2013 at 12:20pm
logxy + logyx = 17/4

- maths -
**hemant**, Friday, May 24, 2013 at 12:20pm
log y base x + log x base y =17/4

sorry for the typo.

## Answer This Question

## Related Questions

- maths~ - x and y are positive real numbers that satisfy logxy+logyx=174 and xy=...
- maths - x and y are positive real numbers that satisfy logxy+logyx=174 and xy=...
- Logarithm Please Help - x and y are positive real numbers that satisfy log(base)...
- algebra - Suppose a and b are positive integers. A) Verify that if a = 18 and b...
- Algebra - Order the following numbers from least to greatest. √5, -0.1, (-...
- heeeeeeelp geometry - In a triangle ABC, BK is an angle bisector. A circle with ...
- maths - Three circles, each with a radius of 10, are mutually tangent to each ...
- maths - Three circles, each with a radius of 10, are mutually tangent to each ...
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- 8th grade algebra - Can you check my answers? 1. 3√20/√4 = 3√(...

More Related Questions