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Popular >

simplify (ln(3)+ln(h)-ln(3))/h

Solution

simplify

\frac{ln ( 3 ) + ln ( h ) - ln ( 3 )}{h}

Solution

\frac{ln ( h )}{h}

Solution steps

\frac{ln ( 3 ) + ln ( h ) - ln ( 3 )}{h}

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (3) + ln (h) = ln (3 h)

= \frac{ln ( 3 h ) - ln ( 3 )}{h}

Apply log rule:

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

ln (3 h) - ln (3) = ln (\frac{3 h}{3})

= \frac{ln ( \frac{3 h}{3} )}{h}

Divide the numbers:

\frac{3}{3} = 1

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

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Frequently Asked Questions (FAQ)

What is (ln(3)+ln(h)-ln(3))/h ?
The solution to (ln(3)+ln(h)-ln(3))/h is (ln(h))/h