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Popular >

simplify ln(9/5)-16/45

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.23223 \dots

Solution steps

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

Apply log rule:

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

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

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

ln (9) = 2 ln (3)

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

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Frequently Asked Questions (FAQ)

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