What is 2.338-1.4995-0.287*ln(675/45) ?

The solution to 2.338-1.4995-0.287*ln(675/45) is 0.8385+0.287ln(45)-0.287ln(675)

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simplify 2.338-1.4995-0.287*ln(675/45)

simplify

2.338 - 1.4995 - 0.287 \cdot ln (\frac{675}{45})

0.8385 + 0.287 ln (45) - 0.287 ln (675)

Decimal Notation

0.06128 \dots

Solution steps

2.338 - 1.4995 - 0.287 ln (\frac{675}{45})

Apply log rule:

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

ln (\frac{675}{45}) = ln (675) - ln (45)

= 2.338 - 1.4995 - 0.287 (ln (675) - ln (45))

Expand

- 0.287 (ln (675) - ln (45)) : - 0.287 ln (675) + 0.287 ln (45)

= 2.338 - 1.4995 - 0.287 ln (675) + 0.287 ln (45)

Subtract the numbers:

2.338 - 1.4995 = 0.8385

= 0.8385 + 0.287 ln (45) - 0.287 ln (675)

6 lo g_{4} (x) - 3 lo g_{4} (y)

lo g_{y} (3 ab c)

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

lo g_{10} (m^{n}) - lo g_{10} (p^{q})

What is 2.338-1.4995-0.287*ln(675/45) ?
The solution to 2.338-1.4995-0.287*ln(675/45) is 0.8385+0.287ln(45)-0.287ln(675)