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Popular >

simplify (ln(5+h)-ln(5))/h

Solution

simplify

\frac{ln ( 5 + h ) - ln ( 5 )}{h}

Solution

\frac{ln ( \frac{5 + h}{5} )}{h}

Solution steps

\frac{ln ( 5 + h ) - ln ( 5 )}{h}

Apply log rule:

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

ln (5 + h) - ln (5) = ln (\frac{h + 5}{5})

= \frac{ln ( \frac{5 + h}{5} )}{h}

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Frequently Asked Questions (FAQ)

What is (ln(5+h)-ln(5))/h ?
The solution to (ln(5+h)-ln(5))/h is (ln((5+h)/5))/(h)