यदि `x = log_(a) (bc) , y = log_(b) (ac)` तथा `z = log_(c) (ab)` हो , तब निम्न प्रश्नो के उत्तर दीजिए ।
x + y + z का मान है
A. `log_(e) abc(log_(a) e + log_(b) e + log_(c) e) – 3`
B. ` log_(e) abc (log_(e) a + log_(e) b + log_(e) c) – 3`
C. ` log_(e) abc ( log_(abc) e) – 3 `
D. इनमे से कोई नहीं
x + y + z का मान है
A. `log_(e) abc(log_(a) e + log_(b) e + log_(c) e) – 3`
B. ` log_(e) abc (log_(e) a + log_(e) b + log_(e) c) – 3`
C. ` log_(e) abc ( log_(abc) e) – 3 `
D. इनमे से कोई नहीं
Correct Answer – A
` x + y + z = log_(a) (bc)+ (log)_(b)(ac)+log_(c)(ab)`
` = ((log b + log c))/(log a) + ((log a+ log c))/(log b)+((log a + log b))/(log c) `
` = ((log abc)/(log a) -1) +((log abc)/(log b) -1) + ((log abc)/(log c) -1)`
` = log abc (log _(a) e + log_(b) e + log_(c)e) – 3`