What is 182000*[ln(0.4)-ln(1.3)] ?

The solution to 182000*[ln(0.4)-ln(1.3)] is 182000ln(0.30769…)

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simplify 182000*[ln(0.4)-ln(1.3)]

simplify

182000 \cdot [ln (0.4) - ln (1.3)]

182000 ln (0.30769 \dots)

Decimal Notation

- 214515.20933 \dots

Solution steps

182000 [ln (0.4) - ln (1.3)]

Apply log rule:

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

ln (0.4) - ln (1.3) = ln (\frac{0.4}{1.3})

= 182000 [ln (\frac{0.4}{1.3})]

Divide the numbers:

\frac{0.4}{1.3} = 0.30769 \dots

= 182000 [ln (0.30769 \dots)]

Remove parentheses:

(a) = a

= 182000 ln (0.30769 \dots)

2 + 2 lo g_{10} (x) - \frac{3}{2} lo g_{10} (y)

ln (\frac{1}{- x})

ln (\frac{1.5 \cdot 1 0 ^{4}}{1.5 \cdot 1 0 ^{10}})

\frac{( ln ( 0.25 ) + ln ( 0.5 ) + ln ( 0.75 ) ) \cdot 2 \cdot 0.5}{2}

(\frac{3}{2})^{2} \cdot ln (\frac{3}{2})

What is 182000*[ln(0.4)-ln(1.3)] ?
The solution to 182000*[ln(0.4)-ln(1.3)] is 182000ln(0.30769…)