# How do you write #log_6 5# as a logarithm of base 4?

##### 2 Answers

#### Answer:

#### Explanation:

Let

i.e.

i.e.

Hence

(A) also tells us that

and hence

#### Answer:

Use the change of base formula or solve an equation using log base 4.

#### Explanation:

**Change of base formula**

So

**Solve an equation**

If you don't remember the change of base formula (or if you want to see where it comes from)

Let

So

Because we want log base 4, take that log on both sides:

Now use the exponent property of logarithms:

Finally divide by