What is join (2ln(3))/(ln(7))+6 ?

The solution to join (2ln(3))/(ln(7))+6 is (ln(9))/(ln(7))+6

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join (2ln(3))/(ln(7))+6

join

\frac{2 ln ( 3 )}{ln ( 7 )} + 6

\frac{ln ( 9 )}{ln ( 7 )} + 6

Decimal

7.12915 \dots

Solution steps

\frac{2 ln ( 3 )}{ln ( 7 )} + 6

Apply log rule:

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

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

= \frac{ln ( 3 ^{2} )}{ln ( 7 )} + 6

3^{2} = 9

= \frac{ln ( 9 )}{ln ( 7 )} + 6

lo g_{10} (\frac{3 x y ^{4}}{z ^{2}})

ln (\frac{27}{2})

lo g_{3} (27 b)

lo g_{10} (\frac{x y ^{2}}{z})

lo g_{10} (\frac{y z}{x ^{4}})

What is join (2ln(3))/(ln(7))+6 ?
The solution to join (2ln(3))/(ln(7))+6 is (ln(9))/(ln(7))+6