What is (ln(1500)-ln(1500-19200))/(ln(1.03)) ?

The solution to (ln(1500)-ln(1500-19200))/(ln(1.03)) is (ln(-5/59))/(ln(1.03))

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simplify (ln(1500)-ln(1500-19200))/(ln(1.03))

simplify

\frac{ln ( 1500 ) - ln ( 1500 - 19200 )}{ln ( 1.03 )}

\frac{ln ( - \frac{5}{59} )}{ln ( 1.03 )}

Solution steps

\frac{ln ( 1500 ) - ln ( 1500 - 19200 )}{ln ( 1.03 )}

Apply log rule:

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

ln (1500) - ln (1500 - 19200) = ln (\frac{1500}{1500 - 19200})

= \frac{ln ( \frac{1500}{1500 - 19200} )}{ln ( 1.03 )}

\frac{1500}{1500 - 19200} = - \frac{5}{59}

= \frac{ln ( - \frac{5}{59} )}{ln ( 1.03 )}

1.5 ln (\frac{13}{9})

2.1 \cdot ln (\frac{273}{233})

ln (\frac{1}{d y})

7 lo g_{c} (z - 5) - 5 lo g_{c} (z + 5)

ln (21) - ln (7)

What is (ln(1500)-ln(1500-19200))/(ln(1.03)) ?
The solution to (ln(1500)-ln(1500-19200))/(ln(1.03)) is (ln(-5/59))/(ln(1.03))