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

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

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join (3ln(2))/(ln(3/2))

join

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

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

Decimal Notation

5.12853 \dots

Solution steps

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

Apply log rule:

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

3 ln (2) = ln (2^{3})

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

2^{3} = 8

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

2 lo g_{10} (0.000001) + 2 lo g_{10} (0.001)

ln (\frac{1.61}{3.792})

\frac{1}{2} lo g_{10} (z) - \frac{1}{4} lo g_{10} (y)

ln (x^{4} (1 - 2 x)^{2})

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

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