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Popular >

simplify ln(18)-ln(6)+3ln(1)

Solution

simplify

ln (18) - ln (6) + 3 ln (1)

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln (18) - ln (6) + 3 ln (1)

Apply log rule:

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

ln (18) - ln (6) = ln (\frac{18}{6})

= ln (\frac{18}{6}) + 3 ln (1)

Divide the numbers:

\frac{18}{6} = 3

= ln (3) + 3 ln (1)

3 ln (1) = 0

= ln (3) + 0

ln (3) + 0 = ln (3)

= ln (3)

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Frequently Asked Questions (FAQ)

What is ln(18)-ln(6)+3ln(1) ?
The solution to ln(18)-ln(6)+3ln(1) is ln(3)