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 ( 3 )} - 2

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

Decimal Notation

- 0.10721 \dots

Solution steps

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

2^{3} = 8

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

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

4 lo g_{3} (u) - 20 lo g_{3} (v)

- lo g_{10} (4 \cdot 1 0^{- 3})

- lo g_{10} (7.2 x 1 0^{- 4})

- lo g_{10} (1.02 \cdot 1 0^{- 2})

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