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Popular >

simplify ln(1)-ln(1/3)

Solution

simplify

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

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

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

Apply log rule:

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

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

= ln (1) - (ln (1) - ln (3))

ln (1) = 0

- (ln (1) - ln (3)) = ln (3)

= 0 + ln (3)

0 + ln (3) = ln (3)

= ln (3)

Popular Examples

simplify (10ln(7.01)-10ln(7))/(7.01-7)simplify

\frac{10 ln ( 7.01 ) - 10 ln ( 7 )}{7.01 - 7}

join 1/3*ln(7/6+(sqrt(5))/2)join

\frac{1}{3} \cdot ln (\frac{7}{6} + \frac{5}{2})

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\frac{1}{2 105} - ln (21) + ln (20)

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\frac{1}{2} (ln (8 x^{2}) - ln (4) - 3 ln (x) - ln (y))

simplify 0.53-((0.0592)/2)*log_{10}((0.1)/3)simplify

0.53 - (\frac{0.0592}{2}) \cdot lo g_{10} (\frac{0.1}{3})

Frequently Asked Questions (FAQ)

What is ln(1)-ln(1/3) ?
The solution to ln(1)-ln(1/3) is ln(3)