What is 1.8493-1.9852-0.287ln(80/120) ?

The solution to 1.8493-1.9852-0.287ln(80/120) is 0.287ln(120)-0.1359-0.287ln(80)

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simplify 1.8493-1.9852-0.287ln(80/120)

simplify

1.8493 - 1.9852 - 0.287 ln (\frac{80}{120})

0.287 ln (120) - 0.1359 - 0.287 ln (80)

Decimal Notation

- 0.01953 \dots

Solution steps

1.8493 - 1.9852 - 0.287 ln (\frac{80}{120})

Apply log rule:

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

ln (\frac{80}{120}) = ln (80) - ln (120)

= 1.8493 - 1.9852 - 0.287 (ln (80) - ln (120))

Expand

- 0.287 (ln (80) - ln (120)) : - 0.287 ln (80) + 0.287 ln (120)

= 1.8493 - 1.9852 - 0.287 ln (80) + 0.287 ln (120)

Subtract the numbers:

1.8493 - 1.9852 = - 0.1359

= 0.287 ln (120) - 0.1359 - 0.287 ln (80)

2 ln (8) + 2 ln (y)

- 2 lo g_{10} (x + 1) + lo g_{10} (x) + lo g_{10} (x^{2} - 1)

lo g_{8} (\frac{9 x ^{3}}{4 y ^{2}})

lo g_{3} (\frac{x}{27})

lo g_{10} (3 b a)

What is 1.8493-1.9852-0.287ln(80/120) ?
The solution to 1.8493-1.9852-0.287ln(80/120) is 0.287ln(120)-0.1359-0.287ln(80)