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Popular >

simplify 3ln(6)-ln(4)

Solution

simplify

3 ln (6) - ln (4)

Solution

ln (54)

+1

Decimal Notation

3.98898 \dots

Solution steps

3 ln (6) - ln (4)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (6) = ln (6^{3})

= ln (6^{3}) - ln (4)

Apply log rule:

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

ln (6^{3}) - ln (4) = ln (\frac{6 ^{3}}{4})

= ln (\frac{6 ^{3}}{4})

\frac{6 ^{3}}{4} = 54

= ln (54)

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Frequently Asked Questions (FAQ)

What is 3ln(6)-ln(4) ?
The solution to 3ln(6)-ln(4) is ln(54)