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Popular >

simplify ln(5)-2ln(4)

Solution

simplify

ln (5) - 2 ln (4)

Solution

ln (\frac{5}{16})

+1

Decimal Notation

- 1.16315 \dots

Solution steps

ln (5) - 2 ln (4)

Apply log rule:

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

2 ln (4) = ln (4^{2})

= ln (5) - ln (4^{2})

Apply log rule:

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

ln (5) - ln (4^{2}) = ln (\frac{5}{4 ^{2}})

= ln (\frac{5}{4 ^{2}})

4^{2} = 16

= ln (\frac{5}{16})

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Frequently Asked Questions (FAQ)

What is ln(5)-2ln(4) ?
The solution to ln(5)-2ln(4) is ln(5/16)