Question

Express loga 6 + loga 70 as a single logarithm

Answer 1

The answer is

`log_(a)(420)`

Explanation:

You have to use Logarithm Law,

`log_(a)(b) + log_(a)(c) ⇒ log_(a)(b * c)`

* Take note, number b and c can only be multiplied when they have the same base, a

So for this question :

`log_(a)(6) + log_(a)(70)`

`= log_(a)(6 * 70)`

`= log_(a)(420)`

Answer 2

logₐ(420)

Explanation: