What is join (11500)/(13ln(45/13)) ?

The solution to join (11500)/(13ln(45/13)) is (11500)/(ln(\frac{45^{13)}{13^{13}})}

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join (11500)/(13ln(45/13))

join

\frac{11500}{13 ln ( \frac{45}{13} )}

\frac{11500}{ln ( \frac{4 5 ^{13}}{1 3 ^{13}} )}

Decimal Notation

712.41526 \dots

Solution steps

\frac{11500}{13 ln ( \frac{45}{13} )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

13 ln (\frac{45}{13}) = ln ((\frac{45}{13})^{13})

= \frac{11500}{ln ( ( \frac{45}{13} ) ^{13} )}

(\frac{45}{13})^{13} = \frac{4 5 ^{13}}{1 3 ^{13}}

= \frac{11500}{ln ( \frac{4 5 ^{13}}{1 3 ^{13}} )}

- lo g_{10} (7.11 \cdot 1 0^{- 3})

5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (y)

ln (A e^{x + y})

ln (\frac{x ^{7} x ^{2} + 4}{( x + 4 ) ^{9}})

3 lo g_{2} (a) + 2 lo g_{2} (b)

What is join (11500)/(13ln(45/13)) ?
The solution to join (11500)/(13ln(45/13)) is (11500)/(ln(\frac{45^{13)}{13^{13}})}