What is simplify-ln(41/160) ?

The solution to simplify-ln(41/160) is -ln(41)+ln(160)

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simplify-ln(41/160)

simplify

- ln (\frac{41}{160})

- ln (41) + ln (160)

Decimal Notation

1.36160 \dots

Solution steps

- ln (\frac{41}{160})

Apply log rule:

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

ln (\frac{41}{160}) = ln (41) - ln (160)

= - (ln (41) - ln (160))

Distribute parentheses

= - (ln (41)) - (- ln (160))

Apply minus-plus rules

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

= - ln (41) + ln (160)

- ln (\frac{( \frac{1}{2} )}{2})

\frac{1}{3} lo g_{4} (x) + lo g_{4} (z)

- lo g_{10} (5 x 1 0^{- 4})

3 ln (x) - ln (x + 6) - ln (x - 6)

ln (\frac{R}{0.203})

What is simplify-ln(41/160) ?
The solution to simplify-ln(41/160) is -ln(41)+ln(160)