What is (600ln(2))/(3ln(2)-ln(3)) ?

The solution to (600ln(2))/(3ln(2)-ln(3)) is (600ln(2))/(ln(8/3))

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simplify (600ln(2))/(3ln(2)-ln(3))

simplify

\frac{600 ln ( 2 )}{3 ln ( 2 ) - ln ( 3 )}

\frac{600 ln ( 2 )}{ln ( \frac{8}{3} )}

Decimal Notation

424.01703 \dots

Solution steps

\frac{600 ln ( 2 )}{3 ln ( 2 ) - ln ( 3 )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (2) = ln (2^{3})

= \frac{600 ln ( 2 )}{ln ( 2 ^{3} ) - ln ( 3 )}

Apply log rule:

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

ln (2^{3}) - ln (3) = ln (\frac{2 ^{3}}{3})

= \frac{600 ln ( 2 )}{ln ( \frac{2 ^{3}}{3} )}

2^{3} = 8

= \frac{600 ln ( 2 )}{ln ( \frac{8}{3} )}

20 lo g_{10} (\frac{π}{4})

- \frac{1}{3} ln (\frac{1}{2})

lo g_{5} (\frac{d}{125})

ln (\frac{1}{A} e^{x + 6})

ln (3) + \frac{2}{3} ln (\frac{16}{10})

What is (600ln(2))/(3ln(2)-ln(3)) ?
The solution to (600ln(2))/(3ln(2)-ln(3)) is (600ln(2))/(ln(8/3))