Variable e
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:
- ln $$x$$ → Base = $$e$$
- log $$x$$ → Base = 10
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:
- ln $$x$$ → Base = $$e$$
- log $$x$$ → Base = 10
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
Time Analysis
See how quickly you looked at the hint, solution, and answer. This is important for making sure you will finish the FE Exam in time.- Hint: Not clicked
- Solution: Not clicked
- Answer: Not clicked
Similar Problems from FE Section: Logarithms
434. Logarithm
461. Log
465. Base Log
468. Ln Base
470. Natural Log
482. Ln Simplify
603. Bearing Type
630. Type of Bearing