If x = {log _b}a,,,y = {log _c}b,,,,z = {log | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b) We have $xyz = {\log _b}a 	imes {\log _c}b 	imes {\log _a}c$

$ = {{{{\log }_e}a} \over {{{\log }_e}b}} 	imes {{{{\log }_e}b} \over {{{\log }

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(b) We have $xyz = {\log _b}a 	imes {\log _c}b 	imes {\log _a}c$

$ = {{{{\log }_e}a} \over {{{\log }_e}b}} 	imes {{{{\log }_e}b} \over {{{\log }_e}c}} 	imes {{{{\log }_e}c} \over {{{\log }_e}a}} = 1$.

If $x = {\log _b}a,\,\,y = {\log _c}b,\,\,\,z = {\log _a}c$, then $xyz$ is

Similar Questions

If ${\log _{0.04}}(x - 1) \ge {\log _{0.2}}(x - 1)$ then $x$ belongs to the interval

The sum $\sum \limits_{n=1}^{\infty} \frac{2 n^2+3 n+4}{(2 n) !}$ is equal to :

If ${x^{{3 \over 4}{{({{\log }_3}x)}^2} + {{\log }_3}x - {5 \over 4}}} = \sqrt 3 $ then $x$ has

Let $S$ be the sum of the digits of the number $15^2 \times 5^{18}$ in base $10$. Then,

${\log _7}{\log _7}\sqrt {7(\sqrt {7\sqrt 7 } )} = $