## Logarithm

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 25 from 15,625.

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
$$c$$
:

$$$36^c=15,625$$$

Factor
$$25$$
from
$$15,625$$
:

$$$\frac{15,625}{25}=625\rightarrow \frac{625}{25}=25$$$

$$25$$
evenly appears three times in
$$15,625$$
. Thus,

$$$log_{25}(25^3)=3$$$

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