What is (ln(4x+7)-ln(7))/x ?

The solution to (ln(4x+7)-ln(7))/x is (ln((4x+7)/7))/(x)

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simplify (ln(4x+7)-ln(7))/x

simplify

\frac{ln ( 4 x + 7 ) - ln ( 7 )}{x}

\frac{ln ( \frac{4 x + 7}{7} )}{x}

Solution steps

\frac{ln ( 4 x + 7 ) - ln ( 7 )}{x}

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (4 x + 7) - ln (7) = ln (\frac{4 x + 7}{7})

= \frac{ln ( \frac{4 x + 7}{7} )}{x}

ln (- 3 e^{- 2 x})

ln ((2 x + 1)^{\frac{1}{l n ( x )}})

2 ln (x) + ln (x) + ln (y)

ln (\frac{14}{25})

ln (x x^{2} + 9)

What is (ln(4x+7)-ln(7))/x ?
The solution to (ln(4x+7)-ln(7))/x is (ln((4x+7)/7))/(x)