What is join (2000ln(11/125))/(ln(5)) ?

The solution to join (2000ln(11/125))/(ln(5)) is (ln((11/125)^{2000}))/(ln(5))

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join (2000ln(11/125))/(ln(5))

join

\frac{2000 ln ( \frac{11}{125} )}{ln ( 5 )}

\frac{ln ( ( \frac{11}{125} ) ^{2000} )}{ln ( 5 )}

Decimal Notation

- 3020.20779 \dots

Solution steps

\frac{2000 ln ( \frac{11}{125} )}{ln ( 5 )}

Apply log rule:

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

2000 ln (\frac{11}{125}) = ln ((\frac{11}{125})^{2000})

= \frac{ln ( ( \frac{11}{125} ) ^{2000} )}{ln ( 5 )}

4 ln (6 ln (x))

- ln (4.9) + 2 ln (5.9)

45 ln (2 cos (x^{2}))

ln (\frac{31.7}{22.8})

ln (e^{- x} cos^{2} (x)) - ln (x^{2} + x + 1)

What is join (2000ln(11/125))/(ln(5)) ?
The solution to join (2000ln(11/125))/(ln(5)) is (ln((11/125)^{2000}))/(ln(5))