What is ln((901.8+150)/(1907.2+150)) ?

The solution to ln((901.8+150)/(1907.2+150)) is ln(1051.8)-ln(2057.2)

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simplify ln((901.8+150)/(1907.2+150))

simplify

ln (\frac{901.8 + 150}{1907.2 + 150})

ln (1051.8) - ln (2057.2)

Decimal Notation

- 0.67084 \dots

Solution steps

ln (\frac{901.8 + 150}{1907.2 + 150})

Apply log rule:

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

ln (\frac{901.8 + 150}{1907.2 + 150}) = ln (901.8 + 150) - ln (1907.2 + 150)

= ln (150 + 901.8) - ln (150 + 1907.2)

Add the numbers:

901.8 + 150 = 1051.8

= ln (1051.8) - ln (150 + 1907.2)

Add the numbers:

1907.2 + 150 = 2057.2

= ln (1051.8) - ln (2057.2)

- lo g_{10} (4.07 \cdot 1 0^{- 5})

3 ln (x y) + ln (y) - ln (x^{3} y)

\frac{1}{3} ln (x) + \frac{10}{12} (x + 3) - \frac{1}{6} ln (x - 3)

\frac{1}{2} ln (5) - ln (2)

4.74 + lo g_{10} (\frac{0.81245}{0.24745})

What is ln((901.8+150)/(1907.2+150)) ?
The solution to ln((901.8+150)/(1907.2+150)) is ln(1051.8)-ln(2057.2)