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Popular >

simplify 2ln(81)-ln(11)

Solution

simplify

2 ln (81) - ln (11)

Solution

ln (\frac{6561}{11})

+1

Decimal Notation

6.39100 \dots

Solution steps

2 ln (81) - ln (11)

Apply log rule:

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

2 ln (81) = ln (8 1^{2})

= ln (8 1^{2}) - ln (11)

Apply log rule:

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

ln (8 1^{2}) - ln (11) = ln (\frac{8 1 ^{2}}{11})

= ln (\frac{8 1 ^{2}}{11})

8 1^{2} = 6561

= ln (\frac{6561}{11})

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Frequently Asked Questions (FAQ)

What is 2ln(81)-ln(11) ?
The solution to 2ln(81)-ln(11) is ln(6561/11)