Question

Prove That 3^Log4 = 4^Log3.

Answer 1

12th grade?
$75)( \\ \\ {?}^{2}$

Answer 2

Prove that: 3^log4 = 4^log3

LHS:

3^log4 = x

(•.• Taking log both side)

log3^log4 = logx

log4 * log3 = logx

log3 * log4 = logx

log4^log3 = logx

4^log3 = x (•.• x = 3^log4)

4^log3 = 3^log4

.•.3^log4 = 4^log3, Hence Proved