What is simplify-ln(80/81) ?

The solution to simplify-ln(80/81) is -ln(80)+4ln(3)

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simplify-ln(80/81)

simplify

- ln (\frac{80}{81})

- ln (80) + 4 ln (3)

Decimal Notation

0.01242 \dots

Solution steps

- ln (\frac{80}{81})

Apply log rule:

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

ln (\frac{80}{81}) = ln (80) - ln (81)

= - (ln (80) - ln (81))

ln (81) = 4 ln (3)

= - (ln (80) - 4 ln (3))

Distribute parentheses

= - (ln (80)) - (- 4 ln (3))

Apply minus-plus rules

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

= - ln (80) + 4 ln (3)

ln (\frac{52}{7})

ln (3 x) - ln (u)

- \frac{1}{4} ln (\frac{1}{3})

ln (2 e^{2 x + 1} x)

ln (\frac{1}{3 x})

What is simplify-ln(80/81) ?
The solution to simplify-ln(80/81) is -ln(80)+4ln(3)