What is ln((6+0.5)/(7*0.5)) ?

The solution to ln((6+0.5)/(7*0.5)) is ln(6.5)-ln(7)-ln(0.5)

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simplify ln((6+0.5)/(7*0.5))

simplify

ln (\frac{6 + 0.5}{7 \cdot 0.5})

ln (6.5) - ln (7) - ln (0.5)

Decimal Notation

0.61903 \dots

Solution steps

ln (\frac{6 + 0.5}{7 \cdot 0.5})

Apply log rule:

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

ln (\frac{6 + 0.5}{7 \cdot 0.5}) = ln (6 + 0.5) - ln (7 \cdot 0.5)

= ln (6 + 0.5) - ln (7 \cdot 0.5)

Apply log rule:

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

ln (7 \cdot 0.5) = ln (7) + ln (0.5)

= ln (6 + 0.5) - (ln (7) + ln (0.5))

Add the numbers:

6 + 0.5 = 6.5

= ln (6.5) - (ln (7) + ln (0.5))

- (ln (7) + ln (0.5)) : - ln (7) - ln (0.5)

= ln (6.5) - ln (7) - ln (0.5)

\frac{1}{9} ln (\frac{6}{5})

lo g_{7} (4) \cdot lo g_{2} (5) + lo g_{7} (\frac{49}{25})

\frac{1}{3} lo g_{3} (2)

\frac{\partial}{\partial x} (x^{2} y) + ln (x y^{2})

ln (\frac{( 1 + e ^{x} )}{( 1 - e ^{x} )})

What is ln((6+0.5)/(7*0.5)) ?
The solution to ln((6+0.5)/(7*0.5)) is ln(6.5)-ln(7)-ln(0.5)