What is simplify-1*ln(x/y) ?

The solution to simplify-1*ln(x/y) is -ln(x)+ln(y)

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simplify-1*ln(x/y)

simplify

- 1 \cdot ln (\frac{x}{y})

- ln (x) + ln (y)

Solution steps

- 1 \cdot ln (\frac{x}{y})

Apply log rule:

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

ln (\frac{x}{y}) = ln (x) - ln (y)

= - 1 \cdot (ln (x) - ln (y))

Multiply:

1 \cdot (ln (x) - ln (y)) = (ln (x) - ln (y))

= - (ln (x) - ln (y))

Distribute parentheses

= - (ln (x)) - (- ln (y))

Apply minus-plus rules

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

= - ln (x) + ln (y)

ln (\frac{565000}{350000})

ln (\frac{x}{y ^{3} z})

- lo g_{10} (4.95 \cdot 1 0^{- 6})

ln (10) - ln (25)

22.2 \cdot ln (\frac{273}{263})