Ln Base

#468 / 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:

Since the natural log has a default base of $$e$$ :

$$$ln(e^4) \times 3e=ln_e(e^4) \times 3e=(4)\cdot 3e=12e$$$

Since Euler’s number, $$e$$ , is a mathematical constant approximately equal to 2.718, another answer is: $$12 \times 2.718=32.6$$ .

12 $$e$$ or 32.6

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