What is simplify-200(ln(40)-ln(50)) ?

The solution to simplify-200(ln(40)-ln(50)) is -200ln(4/5)

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simplify-200(ln(40)-ln(50))

simplify

- 200 (ln (40) - ln (50))

- 200 ln (\frac{4}{5})

Decimal Notation

44.62871 \dots

Solution steps

- 200 (ln (40) - ln (50))

Apply log rule:

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

ln (40) - ln (50) = ln (\frac{40}{50})

= - 200 ln (\frac{40}{50})

Cancel the common factor:

10

= - 200 ln (\frac{4}{5})

ln (\frac{684}{760})

lo g_{10} (\frac{a ^{2} b ^{3}}{c ^{4}})

5 \cdot ln (\frac{5 2}{2})

lo g_{5} (\frac{z}{125})

π^{16} ln (\frac{2 + 2 9 ^{\frac{1}{2}}}{5})

What is simplify-200(ln(40)-ln(50)) ?
The solution to simplify-200(ln(40)-ln(50)) is -200ln(4/5)