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Popular >

simplify ln((0.25)/(1*9))

Solution

simplify

ln (\frac{0.25}{1 \cdot 9})

Solution

ln (0.25) - 2 ln (3)

+1

Decimal Notation

- 3.58351 \dots

Solution steps

ln (\frac{0.25}{1 \cdot 9})

Apply log rule:

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

ln (\frac{0.25}{1 \cdot 9}) = ln (0.25) - ln (1 \cdot 9)

= ln (0.25) - ln (1 \cdot 9)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (1 \cdot 9) = ln (1) + ln (9)

= ln (0.25) - (ln (1) + ln (9))

- (ln (1) + ln (9)) = - 2 ln (3)

= ln (0.25) - 2 ln (3)

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Frequently Asked Questions (FAQ)

What is ln((0.25)/(1*9)) ?
The solution to ln((0.25)/(1*9)) is ln(0.25)-2ln(3)