What is join (2ln(3))/(ln(13))+3 ?

The solution to join (2ln(3))/(ln(13))+3 is (ln(9))/(ln(13))+3

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join (2ln(3))/(ln(13))+3

join

\frac{2 ln ( 3 )}{ln ( 13 )} + 3

\frac{ln ( 9 )}{ln ( 13 )} + 3

Decimal Notation

3.85663 \dots

Solution steps

\frac{2 ln ( 3 )}{ln ( 13 )} + 3

Apply log rule:

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

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

= \frac{ln ( 3 ^{2} )}{ln ( 13 )} + 3

3^{2} = 9

= \frac{ln ( 9 )}{ln ( 13 )} + 3

ln (\frac{x}{y ^{6}})

- lo g_{10} (x \cdot 1 0^{- n})

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

- lo g_{10} (0.39 \cdot 1 0^{- 3})

ln (\frac{y}{x ^{4}})

What is join (2ln(3))/(ln(13))+3 ?
The solution to join (2ln(3))/(ln(13))+3 is (ln(9))/(ln(13))+3