What is join-(ln(9/2))/(3ln(10)) ?

The solution to join-(ln(9/2))/(3ln(10)) is -(ln(9/2))/(ln(1000))

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join-(ln(9/2))/(3ln(10))

join

- \frac{ln ( \frac{9}{2} )}{3 ln ( 10 )}

- \frac{ln ( \frac{9}{2} )}{ln ( 1000 )}

Decimal Notation

- 0.21773 \dots

Solution steps

- \frac{ln ( \frac{9}{2} )}{3 ln ( 10 )}

Apply log rule:

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

3 ln (10) = ln (1 0^{3})

= - \frac{ln ( \frac{9}{2} )}{ln ( 1 0 ^{3} )}

1 0^{3} = 1000

= - \frac{ln ( \frac{9}{2} )}{ln ( 1000 )}

10 \cdot lo g_{10} (\frac{2 \cdot 1 0 ^{- 3}}{1 0 ^{- 12}})

9 lo g_{10} (x) - 2 lo g_{10} (y)

ln (399) - ln (999)

lo g_{e} (- j wl)

lo g_{e} (\frac{5}{6})

What is join-(ln(9/2))/(3ln(10)) ?
The solution to join-(ln(9/2))/(3ln(10)) is -(ln(9/2))/(ln(1000))