What is simplify-ln(16/15) ?

The solution to simplify-ln(16/15) is -4ln(2)+ln(15)

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simplify-ln(16/15)

simplify

- ln (\frac{16}{15})

- 4 ln (2) + ln (15)

Decimal Notation

- 0.06453 \dots

Solution steps

- ln (\frac{16}{15})

Apply log rule:

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

ln (\frac{16}{15}) = ln (16) - ln (15)

= - (ln (16) - ln (15))

ln (16) = 4 ln (2)

= - (4 ln (2) - ln (15))

Distribute parentheses

= - (4 ln (2)) - (- ln (15))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - 4 ln (2) + ln (15)

lo g_{4} (x) + 5 lo g_{4} (y)

lo g_{2} (55) \cdot \frac{3}{2}

lo g_{10} (\frac{0.651}{0.349}) - 0.5 \cdot (- 0.30134)

ln (\frac{1}{1.297})

3 lo g_{10} (x) - 4 lo g_{10} (x - 1)

What is simplify-ln(16/15) ?
The solution to simplify-ln(16/15) is -4ln(2)+ln(15)