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Popular >

simplify 2ln(3)-ln(5)-16/45

Solution

simplify

2 ln (3) - ln (5) - \frac{16}{45}

Solution

ln (\frac{9}{5}) - \frac{16}{45}

+1

Decimal Notation

0.23223 \dots

Solution steps

2 ln (3) - ln (5) - \frac{16}{45}

Apply log rule:

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

2 ln (3) = ln (3^{2})

= ln (3^{2}) - ln (5) - \frac{16}{45}

Apply log rule:

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

ln (3^{2}) - ln (5) = ln (\frac{3 ^{2}}{5})

= ln (\frac{3 ^{2}}{5}) - \frac{16}{45}

3^{2} = 9

= ln (\frac{9}{5}) - \frac{16}{45}

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Frequently Asked Questions (FAQ)

What is 2ln(3)-ln(5)-16/45 ?
The solution to 2ln(3)-ln(5)-16/45 is ln(9/5)-16/45