What is simplify-10ln((91.2-70)/(98.6-70)) ?

The solution to simplify-10ln((91.2-70)/(98.6-70)) is -10(ln(21.2)-ln(28.6))

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simplify-10ln((91.2-70)/(98.6-70))

simplify

- 10 ln (\frac{91.2 - 70}{98.6 - 70})

- 10 (ln (21.2) - ln (28.6))

Decimal Notation

2.99405 \dots

Solution steps

- 10 ln (\frac{91.2 - 70}{98.6 - 70})

Apply log rule:

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

ln (\frac{91.2 - 70}{98.6 - 70}) = ln (91.2 - 70) - ln (98.6 - 70)

= - 10 (ln (91.2 - 70) - ln (98.6 - 70))

Subtract the numbers:

91.2 - 70 = 21.2

= - 10 (ln (21.2) - ln (98.6 - 70))

Subtract the numbers:

98.6 - 70 = 28.6

= - 10 (ln (21.2) - ln (28.6))

- lo g_{10} (7.3 \cdot 1 0^{- 4})

51 - 40 - 40 ln (\frac{47}{40})

3 lo g_{6} (z) + 2 (lo g_{6} (x) - 2 lo g_{6} (y))

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

\frac{1}{2} ln (3 c) + \frac{1}{2} ln (4) d - 2 ln (5 e)

What is simplify-10ln((91.2-70)/(98.6-70)) ?
The solution to simplify-10ln((91.2-70)/(98.6-70)) is -10(ln(21.2)-ln(28.6))