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Popular >

simplify 2ln(4)-2ln(5)

Solution

simplify

2 ln (4) - 2 ln (5)

Solution

ln (\frac{16}{25})

+1

Decimal Notation

- 0.44628 \dots

Solution steps

2 ln (4) - 2 ln (5)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{4 ^{2}}{5 ^{2}} = \frac{16}{25}

= ln (\frac{16}{25})

Popular Examples

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Frequently Asked Questions (FAQ)

What is 2ln(4)-2ln(5) ?
The solution to 2ln(4)-2ln(5) is ln(16/25)