Variable e

#604 / Math Easy

What is “x” in the shown equation?

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:

First, let’s take the natural log of both sides to lower the exponent:

$$$ln16=lne^{2.7x}=2.7x$$$

Solving for $$x$$ :

$$$x=\frac{ln16}{2.7}=\frac{2.773}{2.7}=1.03$$$

1.03

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