What is join (ln(8/5))/(3ln(2)) ?

The solution to join (ln(8/5))/(3ln(2)) is (ln(8/5))/(ln(8))

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join (ln(8/5))/(3ln(2))

join

\frac{ln ( \frac{8}{5} )}{3 ln ( 2 )}

\frac{ln ( \frac{8}{5} )}{ln ( 8 )}

Decimal Notation

0.22602 \dots

Solution steps

\frac{ln ( \frac{8}{5} )}{3 ln ( 2 )}

Apply log rule:

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

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

= \frac{ln ( \frac{8}{5} )}{ln ( 2 ^{3} )}

2^{3} = 8

= \frac{ln ( \frac{8}{5} )}{ln ( 8 )}

- lo g_{10} (4.1 \cdot 1 0^{- 4})

3 lo g_{5} (x) - 18 lo g_{5} (y)

lo g_{5} (\frac{25}{x + 8})

ln (x^{2} - 49) - ln (x + 7)

lo g_{10} (x \cdot y)

What is join (ln(8/5))/(3ln(2)) ?
The solution to join (ln(8/5))/(3ln(2)) is (ln(8/5))/(ln(8))