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Popular >

simplify ln(4)-(ln(4)-ln(3))

Solution

simplify

ln (4) - (ln (4) - ln (3))

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln (4) - (ln (4) - ln (3))

Apply log rule:

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

ln (4) - ln (3) = ln (\frac{4}{3})

= ln (4) - ln (\frac{4}{3})

Apply log rule:

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

ln (4) - ln (\frac{4}{3}) = ln (\frac{4}{\frac{4}{3}})

= ln (\frac{4}{\frac{4}{3}})

\frac{4}{\frac{4}{3}} = 3

= ln (3)

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Frequently Asked Questions (FAQ)

What is ln(4)-(ln(4)-ln(3)) ?
The solution to ln(4)-(ln(4)-ln(3)) is ln(3)