What is ln((0.0512)/(0.32)) ?

The solution to ln((0.0512)/(0.32)) is ln(0.0512)-ln(0.32)

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simplify ln((0.0512)/(0.32))

simplify

ln (\frac{0.0512}{0.32})

ln (0.0512) - ln (0.32)

Decimal Notation

- 1.83258 \dots

Solution steps

ln (\frac{0.0512}{0.32})

Apply log rule:

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

ln (\frac{0.0512}{0.32}) = ln (0.0512) - ln (0.32)

= ln (0.0512) - ln (0.32)

ln (3 x + 1) + ln (x - 1)

2 ln (2 x e^{β}) + e^{β} + 3 x

\frac{5}{6} ln (5) + \frac{1}{6} ln (- 1)

ln (40) + 2 ln (\frac{1}{2}) + ln (x)

6 lo g_{10} (x) - \frac{1}{3} lo g_{10} (y)

What is ln((0.0512)/(0.32)) ?
The solution to ln((0.0512)/(0.32)) is ln(0.0512)-ln(0.32)