What is simplify-0.03*ln(((1-4.1))/(82)) ?

The solution to simplify-0.03*ln(((1-4.1))/(82)) is -0.03(ln(-3.1)-ln(82))

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simplify-0.03*ln(((1-4.1))/(82))

simplify

- 0.03 \cdot ln (\frac{( 1 - 4.1 )}{82})

- 0.03 (ln (- 3.1) - ln (82))

Solution steps

- 0.03 ln (\frac{( 1 - 4.1 )}{82})

Apply log rule:

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

ln (\frac{( 1 - 4.1 )}{82}) = ln ((1 - 4.1)) - ln (82)

= - 0.03 (ln ((1 - 4.1)) - ln (82))

Remove parentheses:

(a) = a

= - 0.03 (ln (1 - 4.1) - ln (82))

Remove parentheses:

(a) = a

= - 0.03 (ln (1 - 4.1) - ln (82))

Subtract the numbers:

1 - 4.1 = - 3.1

= - 0.03 (ln (- 3.1) - ln (82))

lo g_{10} (4 θ^{4} (1 - θ)^{4} (1 - 2 θ)^{2})

ln (x (x + 6))

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

5 lo g_{2} (A) - lo g_{2} (B) + 3

ln (x y) - ln (z)

What is simplify-0.03*ln(((1-4.1))/(82)) ?
The solution to simplify-0.03*ln(((1-4.1))/(82)) is -0.03(ln(-3.1)-ln(82))