# Fill in the missing value to make the log equation true. ?

### 6 Answers

Relevance

- PhilipLv 66 months ago
Notation: Put log(base 6) = L.

(C) states L16 = aL2 where a is unknown.;

But 16 = 2^4 so L16 = 4L2 = aL2. Obviously, a = 4.

- What do you think of the answers? You can sign in to give your opinion on the answer.
- Ian HLv 76 months ago
16 = 2^4, so, it follows that

log (to any base) of 16 is equal to

4*log (to same base) of 2

The missing number was 4

- 6 months ago
a * log[b](c) = log[b](c^a)

a * log[6](2) = log[6](16)

log[6](2^a) = log[6](16)

2^a = 16

2^a = 2^4

a = ?

Still have questions? Get answers by asking now.