Logarithm

#434 / Math Easy

Solve the shown logarithm:

Expand Hint

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

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

where $$b^c=x$$ .

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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