Question

If p = log, bc, q = log, ca, r = log, ab, then prove that par = p+q+r+2. lor - 371X7hara a h care different positiv

JEE/Engineering Exams

Maths

Solution

112

4.0 (1 ratings)

( left.=left(log b+log _{6}right) log _{6} log _{6} c+log _{6}left(+log _{a}right) log _{c} log _{a}+operatorname{clog} a cdot log _{b}right) operatorname{cog} a log ) ( begin{aligned} & 10 g a log b log C =(operatorname{cog} b)^{2} log C+(log C)^{2} log b+&left(log _{0}right)^{2} log a+(log a)^{2} log C+(log b)^{2}(0 C) & rightarrow(log a)^{2} log b end{aligned} ) ( log a log b log c ) ( =(1096)^{2} log C+operatorname{clog}()^{2} log b+left(169^{circ}right)^{2} log a+(log a)^{2} log C+ ) ( frac{(10 g b)^{2} log a+(log a)^{2} log b}{log a log b log C} ) 2009alogblogc-210galogblog