What is join (12ln(3))/(ln(20))-1 ?

The solution to join (12ln(3))/(ln(20))-1 is (ln(531441))/(ln(20))-1

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join (12ln(3))/(ln(20))-1

join

\frac{12 ln ( 3 )}{ln ( 20 )} - 1

\frac{ln ( 531441 )}{ln ( 20 )} - 1

Decimal Notation

3.40070 \dots

Solution steps

\frac{12 ln ( 3 )}{ln ( 20 )} - 1

Apply log rule:

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

12 ln (3) = ln (3^{12})

= \frac{ln ( 3 ^{12} )}{ln ( 20 )} - 1

3^{12} = 531441

= \frac{ln ( 531441 )}{ln ( 20 )} - 1

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

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

ln (16 x)

- (\frac{3}{7} lo g_{2} (\frac{3}{7}) + \frac{4}{7} lo g_{2} (\frac{4}{7}))

2 ln (7 x)

What is join (12ln(3))/(ln(20))-1 ?
The solution to join (12ln(3))/(ln(20))-1 is (ln(531441))/(ln(20))-1