Natural Log
Determine the value of:
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
Analyzing the natural log section:
$$$ln(e^{x^3-1})=ln_e(e^{x^3-1})=(x^3-1)$$$
Since the original equation had a multiple of 4:
$$$4(x^3-1)=4x^3-4$$$
$$$4x^3-4$$$
Time Analysis
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