## Log

Solve the shown logarithm:

##
__
__**Hint**

**Hint**

The logarithm of
$$x$$
to the Base
$$b$$
is defined by

$$$log_b(x)=c$$$

where
$$b^c=x$$
.

##
__
__**Hint 2**

**Hint 2**

Factor 9 from 6,561.

The logarithm of
$$x$$
to the Base
$$b$$
is defined by

$$$log_b(x)=c$$$

where
$$b^c=x$$
.

The problem is asking to solve for
$$c$$
:

$$$9^c=6,561$$$

Factor
$$9$$
from
$$6,561$$
:

$$$\frac{6,561}{9}=729\rightarrow \frac{729}{9}=81\rightarrow \frac{81}{9}=9$$$

$$9$$
evenly appears four times in
$$6,561$$
. Thus,

$$$log_9(9^4)=4$$$

4