Base Log

#465 / 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

Special definitions when $$b=e$$ or $$b=10$$ are:

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

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

where $$b^c=x$$ . Special definitions when $$b=e$$ or $$b=10$$ are:

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

$$$10^c=1,000$$$

Factor 10 from 1,000:

$$$\frac{1,000}{10}=100\rightarrow \frac{100}{10}=10$$$

$$10$$ even appears three times in $$1,000$$ . Thus,

$$$log_{10}(10^3)=3$$$

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