Question

Solve log660 – log630. A. 5 B. log62 C. 2 D. log630

Answer 1

Its Log (660/ 630), so Id go with Log62, B. 

Answer 2

Option B -
`\log_6 60-\log_6 30=\log_6 (2)`

Explanation:

Given : Expression
`\log_6 60-\log_6 30`

To find : Solve the given expression?

Solution :

Step 1 - Write the expression

`\log_6 60-\log_6 30`

Step 2 - Applying logarithmic property,
`\log a-\log b=\log((a)/(b))`

`\log_6 60-\log_6 30=\log_6 ((60)/(30))`

Bases are same.

Step 3 - Solve

`\log_6 60-\log_6 30=\log_6 (2)`

Therefore, The solution of expression is

`\log_6 60-\log_6 30=\log_6 (2)`

So, Option B is correct.