What is (300)/(2*pi*460)*ln((4+2*460^2)/(25)) ?

The solution to (300)/(2*pi*460)*ln((4+2*460^2)/(25)) is (15(ln(423204)-2ln(5)))/(46pi)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (300)/(2pi460)ln((4+2460^2)/(25))

simplify

\frac{300}{2 \cdot π \cdot 460} \cdot ln (\frac{4 + 2 \cdot 46 0 ^{2}}{25})

\frac{15 ( ln ( 423204 ) - 2 ln ( 5 ) )}{46 π}

Decimal Notation

1.01064 \dots

Solution steps

\frac{300}{2 π 460} ln (\frac{4 + 2 \cdot 46 0 ^{2}}{25})

Apply log rule:

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

ln (\frac{4 + 2 \cdot 46 0 ^{2}}{25}) = ln (4 + 2 \cdot 46 0^{2}) - ln (25)

= \frac{300}{2 \cdot 460 π} (ln (46 0^{2} \cdot 2 + 4) - ln (25))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{300 ( ln ( 4 + 2 \cdot 46 0 ^{2} ) - ln ( 25 ) )}{2 π 460}

ln (4 + 2 \cdot 46 0^{2}) = ln (423204)

= \frac{300 ( ln ( 423204 ) - ln ( 25 ) )}{2 \cdot 460 π}

Multiply the numbers:

2 \cdot 460 = 920

= \frac{300 ( ln ( 423204 ) - ln ( 25 ) )}{920 π}

Cancel the common factor:

20

= \frac{15 ( ln ( 423204 ) - ln ( 25 ) )}{46 π}

ln (25) = 2 ln (5)

= \frac{15 ( ln ( 423204 ) - 2 ln ( 5 ) )}{46 π}

4.89 + lo g_{10} (\frac{0.35 - x}{0.15 - x})

ln (θ 2 π)

ln (\frac{k \cdot q \cdot s}{r ^{2}})

lo g_{2} (\frac{7}{11} e^{15 \frac{1}{4}})

ln (\frac{273}{259.65})

What is (300)/(2*pi*460)*ln((4+2*460^2)/(25)) ?
The solution to (300)/(2*pi*460)*ln((4+2*460^2)/(25)) is (15(ln(423204)-2ln(5)))/(46pi)