Question

[log (a3/bc) + log (b3/ac) + log (c3/ab)] is equal to

a. 3

b. Abc

c. 1

d. Log abc

Answer 1

Answer:

Step-by-step explaination: log(a^3/bc)+log(b^3/ac)+log(c^3/ab)

log(a×a×a/bc ×b×b×b/ac ×c×c×c/ab)

after cancellation,

log(abc)..

Answer 2

For given expression $[log\frac{a^{3} }{bc} + log\frac{b^{3} }{ac} + log \frac{c^{3} }{ab}]$ answer is $log abc$. i.e. correct option is d.

By using log property -

• logₐ m + logₐ n =  logₐ mn  (product property)
• if a, m and n are positive integers and a ≠ 1, then; logₐ(mn) = logₐm + logₐn

= $log[\frac{a^{3} }{bc} \times \frac{b^{3} }{ac} \times \frac{c^{3} }{ab} ]$

by expanding inner terms -

= $log[\frac{a \times a \times a}{bc} \times\frac{b \times b \times b }{ac} \times \frac{c\times c \times c }{ab}]$

by canceling out same variable , we get -

= $log abc$

Hence, answer is (d) option i.e. $log abc$

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