What is (ln(40)-ln(7))/(3ln(7)) ?

The solution to (ln(40)-ln(7))/(3ln(7)) is (ln(40/7))/(3ln(7))

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simplify (ln(40)-ln(7))/(3ln(7))

simplify

\frac{ln ( 40 ) - ln ( 7 )}{3 ln ( 7 )}

\frac{ln ( \frac{40}{7} )}{3 ln ( 7 )}

Decimal Notation

0.29856 \dots

Solution steps

\frac{ln ( 40 ) - ln ( 7 )}{3 ln ( 7 )}

Apply log rule:

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

ln (40) - ln (7) = ln (\frac{40}{7})

= \frac{ln ( \frac{40}{7} )}{3 ln ( 7 )}

ln (- 7) - ln (4)

ln (\frac{99.985}{100})

4 ln (y) - 3 ln (x)

ln ((1 + i)^{5})

ln (\frac{x}{x - 1})

What is (ln(40)-ln(7))/(3ln(7)) ?
The solution to (ln(40)-ln(7))/(3ln(7)) is (ln(40/7))/(3ln(7))