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Popular >

simplify-ln(5)+2ln(2)

Solution

simplify

- ln (5) + 2 ln (2)

Solution

ln (\frac{4}{5})

+1

Decimal Notation

- 0.22314 \dots

Solution steps

- ln (5) + 2 ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{2} = 4

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

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Frequently Asked Questions (FAQ)

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