What is expand (9(ln(6)-1))/(ln(6)) ?

The solution to expand (9(ln(6)-1))/(ln(6)) is 9-9/(ln(6))

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expand (9(ln(6)-1))/(ln(6))

expand

\frac{9 ( ln ( 6 ) - 1 )}{ln ( 6 )}

9 - \frac{9}{ln ( 6 )}

Solution steps

\frac{9 ( ln ( 6 ) - 1 )}{ln ( 6 )}

Expand

9 (ln (6) - 1) : 9 ln (6) - 9

= \frac{9 ln ( 6 ) - 9}{ln ( 6 )}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{9 ln ( 6 ) - 9}{ln ( 6 )} = \frac{9 ln ( 6 )}{ln ( 6 )} - \frac{9}{ln ( 6 )}

= \frac{9 ln ( 6 )}{ln ( 6 )} - \frac{9}{ln ( 6 )}

Cancel

\frac{9 ln ( 6 )}{ln ( 6 )} : 9

= 9 - \frac{9}{ln ( 6 )}

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What is expand (9(ln(6)-1))/(ln(6)) ?
The solution to expand (9(ln(6)-1))/(ln(6)) is 9-9/(ln(6))