What is join (2ln(3))/(ln(7))-10 ?

The solution to join (2ln(3))/(ln(7))-10 is (ln(9))/(ln(7))-10

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join (2ln(3))/(ln(7))-10

join

\frac{2 ln ( 3 )}{ln ( 7 )} - 10

\frac{ln ( 9 )}{ln ( 7 )} - 10

Decimal Notation

- 8.87084 \dots

Solution steps

\frac{2 ln ( 3 )}{ln ( 7 )} - 10

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 )} - 10

3^{2} = 9

= \frac{ln ( 9 )}{ln ( 7 )} - 10

lo g_{10} (3 x^{3}) \cdot ln (10)

ln (\frac{11 π}{2})

ln (x y^{7})

- 0.5 ln (\frac{1}{2}) + \frac{1}{2} ln (\frac{3}{2})

What is join (2ln(3))/(ln(7))-10 ?
The solution to join (2ln(3))/(ln(7))-10 is (ln(9))/(ln(7))-10