Question

Solve for b 2*log(b)/log(a)+4*log(a)/log(b) = 9 where a>b>1

Answer 1

Actually \[2\log_{a}b+4\log_{b}a = 9\]

Answer 2

use, \(\large\log_xy=\dfrac{1}{\log_yx}\)

then put \(\log_ba=x\)
you'll get a quadratic in 'x', which you can solve easily.

Answer 3

see if you get \(4x^2-9x+2=0\)

Answer 4

is "a" a constant..or we have to find some numerical value of "a" also..otherwise the ans will be in terms of "a"

Answer 5

^yes, the ans will be in terms of "a"

Answer 6

that means we dont have to find the value of "a"..can we find some numerical value of "a" by any means??

Answer 7

2 unknows and only 1 equation.
i don't think it'll be possible to find numerical value of a or b

Answer 8

yeah,i also think so..