What is join (ln(30/13))/(4ln(10)) ?

The solution to join (ln(30/13))/(4ln(10)) is (ln(30/13))/(ln(10000))

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join (ln(30/13))/(4ln(10))

join

\frac{ln ( \frac{30}{13} )}{4 ln ( 10 )}

\frac{ln ( \frac{30}{13} )}{ln ( 10000 )}

Decimal

0.09079 \dots

Solution steps

\frac{ln ( \frac{30}{13} )}{4 ln ( 10 )}

Apply log rule:

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

4 ln (10) = ln (1 0^{4})

= \frac{ln ( \frac{30}{13} )}{ln ( 1 0 ^{4} )}

1 0^{4} = 10000

= \frac{ln ( \frac{30}{13} )}{ln ( 10000 )}

2 ln (6) - 2 ln (3)

\frac{ln ( \frac{811}{100} )}{9 ln ( 10 )}

ln (\frac{m}{2 p x p y}) - \frac{1}{2} ln (p) x - \frac{1}{2} ln (\frac{m}{2 p y})

ln (\frac{1 - 3 x}{x ^{2}})

lo g_{4} (\frac{64}{x + 1})

What is join (ln(30/13))/(4ln(10)) ?
The solution to join (ln(30/13))/(4ln(10)) is (ln(30/13))/(ln(10000))