What is join-(ln(2/5))/(5ln(10)) ?

The solution to join-(ln(2/5))/(5ln(10)) is -(ln(2/5))/(ln(100000))

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join-(ln(2/5))/(5ln(10))

join

- \frac{ln ( \frac{2}{5} )}{5 ln ( 10 )}

- \frac{ln ( \frac{2}{5} )}{ln ( 100000 )}

Decimal Notation

0.07958 \dots

Solution steps

- \frac{ln ( \frac{2}{5} )}{5 ln ( 10 )}

Apply log rule:

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

5 ln (10) = ln (1 0^{5})

= - \frac{ln ( \frac{2}{5} )}{ln ( 1 0 ^{5} )}

1 0^{5} = 100000

= - \frac{ln ( \frac{2}{5} )}{ln ( 100000 )}

- ln (k (t^{2} + h^{2}))

2 \cdot (ln (0.662) - ln (0.583))

ln (\frac{0.1016}{0.0508})

5 ln (x - 1) + 2 ln (x + 6)

What is join-(ln(2/5))/(5ln(10)) ?
The solution to join-(ln(2/5))/(5ln(10)) is -(ln(2/5))/(ln(100000))