What is ln((0.1536)/(0.64)) ?

The solution to ln((0.1536)/(0.64)) is ln(0.1536)-ln(0.64)

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simplify ln((0.1536)/(0.64))

simplify

ln (\frac{0.1536}{0.64})

ln (0.1536) - ln (0.64)

Decimal Notation

- 1.42711 \dots

Solution steps

ln (\frac{0.1536}{0.64})

Apply log rule:

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

ln (\frac{0.1536}{0.64}) = ln (0.1536) - ln (0.64)

= ln (0.1536) - ln (0.64)

\frac{2}{3} ln (11) - \frac{2}{3} ln (8)

\frac{ln ( 120 ) - ln ( 1200 )}{10 - 1}

ln (2) - ln (y) + \frac{1}{2} ln (x + y)

\frac{1}{5} lo g_{6} (b - 6) - \frac{2}{5} lo g_{6} (b)

\frac{1}{4} ln (10) + ln (\frac{13}{4}) - ln (\frac{9}{2})

What is ln((0.1536)/(0.64)) ?
The solution to ln((0.1536)/(0.64)) is ln(0.1536)-ln(0.64)