What is ln((1.8)/(3.6))(-(5730)/(ln(2))) ?

The solution to ln((1.8)/(3.6))(-(5730)/(ln(2))) is -(5730(ln(1.8)-ln(3.6)))/(ln(2))

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simplify ln((1.8)/(3.6))(-(5730)/(ln(2)))

simplify

ln (\frac{1.8}{3.6}) (- \frac{5730}{ln ( 2 )})

- \frac{5730 ( ln ( 1.8 ) - ln ( 3.6 ) )}{ln ( 2 )}

Decimal Notation

5730

Solution steps

ln (\frac{1.8}{3.6}) (- \frac{5730}{ln ( 2 )})

Apply log rule:

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

ln (\frac{1.8}{3.6}) = ln (1.8) - ln (3.6)

= (- \frac{5730}{ln ( 2 )}) (ln (1.8) - ln (3.6))

Remove parentheses:

(- a) = - a

= - (ln (1.8) - ln (3.6)) \frac{5730}{ln ( 2 )}

Multiply fractions:

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

= - \frac{5730 ( ln ( 1.8 ) - ln ( 3.6 ) )}{ln ( 2 )}

lo g_{9} (\frac{25}{36}) + lo g_{3} (\frac{54}{5})

ln (4 x)

\frac{1}{2} (ln (3) - ln 2 e^{3 x} + 1)

lo g_{6} (x y^{3} z^{- 2})

lo g_{3} (\frac{27}{x + 7})

What is ln((1.8)/(3.6))(-(5730)/(ln(2))) ?
The solution to ln((1.8)/(3.6))(-(5730)/(ln(2))) is -(5730(ln(1.8)-ln(3.6)))/(ln(2))