What is simplify-0.287*ln(100/1000) ?

The solution to simplify-0.287*ln(100/1000) is 0.287ln(10)

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simplify-0.287*ln(100/1000)

simplify

- 0.287 \cdot ln (\frac{100}{1000})

0.287 ln (10)

Decimal Notation

0.66084 \dots

Solution steps

- 0.287 ln (\frac{100}{1000})

Apply log rule:

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

ln (\frac{100}{1000}) = ln (100) - ln (1000)

= - 0.287 (ln (100) - ln (1000))

ln (100) = 2 ln (10)

ln (1000) = 3 ln (10)

= - 0.287 (2 ln (10) - 3 ln (10))

Add similar elements:

2 ln (10) - 3 ln (10) = - ln (10)

= - 0.287 (- ln (10))

Apply rule

- (- a) = a

= 0.287 ln (10)

ln (x^{6} y)

3 lo g_{0.6} (3) - 1 lo g_{0.6} (5) - 8 lo g_{5} (2)

- \frac{28 ln ( \frac{31}{40} )}{ln ( 2 )}

lo g_{10} (\frac{3 x}{y ^{3}})

ln (\frac{x}{0.085})

What is simplify-0.287*ln(100/1000) ?
The solution to simplify-0.287*ln(100/1000) is 0.287ln(10)