What is join (ln(3/2))/(8ln(10)) ?

The solution to join (ln(3/2))/(8ln(10)) is (ln(3/2))/(ln(100000000))

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join (ln(3/2))/(8ln(10))

join

\frac{ln ( \frac{3}{2} )}{8 ln ( 10 )}

\frac{ln ( \frac{3}{2} )}{ln ( 100000000 )}

Decimal Notation

0.02201 \dots

Solution steps

\frac{ln ( \frac{3}{2} )}{8 ln ( 10 )}

Apply log rule:

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

8 ln (10) = ln (1 0^{8})

= \frac{ln ( \frac{3}{2} )}{ln ( 1 0 ^{8} )}

1 0^{8} = 100000000

= \frac{ln ( \frac{3}{2} )}{ln ( 100000000 )}

lo g_{2} (x^{2}) - lo g_{2} (x)

ln (\frac{k + 1}{k})

2 lo g_{10} (4 x) - lo g_{10} (8)

lo g_{10} (4 x - 1) - lo g_{10} (x)

What is join (ln(3/2))/(8ln(10)) ?
The solution to join (ln(3/2))/(8ln(10)) is (ln(3/2))/(ln(100000000))