What is ln((86-70)/(86-50)) ?

The solution to ln((86-70)/(86-50)) is 4ln(2)-2ln(6)

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simplify ln((86-70)/(86-50))

simplify

ln (\frac{86 - 70}{86 - 50})

4 ln (2) - 2 ln (6)

Decimal Notation

- 0.81093 \dots

Solution steps

ln (\frac{86 - 70}{86 - 50})

Apply log rule:

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

ln (\frac{86 - 70}{86 - 50}) = ln (86 - 70) - ln (86 - 50)

= ln (86 - 70) - ln (86 - 50)

Subtract the numbers:

86 - 70 = 16

= ln (16) - ln (86 - 50)

Subtract the numbers:

86 - 50 = 36

= ln (16) - ln (36)

ln (16) = 4 ln (2)

ln (36) = 2 ln (6)

= 4 ln (2) - 2 ln (6)

- lo g_{10} (1 x 1 0^{7.4})

3 ln (\frac{1}{2}) + ln (16)

ln (\frac{a ^{1}}{b ^{3} c ^{4}})

x^{4} - ln (x y) + 3^{2 x + y^{2}}

lo g_{4} (n) + 3 lo g_{4} (m)

What is ln((86-70)/(86-50)) ?
The solution to ln((86-70)/(86-50)) is 4ln(2)-2ln(6)