What is (ln(2))/(ln(21.3619)-ln(58.8018)) ?

The solution to (ln(2))/(ln(21.3619)-ln(58.8018)) is (ln(2))/(ln(0.36328…))

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simplify (ln(2))/(ln(21.3619)-ln(58.8018))

simplify

\frac{ln ( 2 )}{ln ( 21.3619 ) - ln ( 58.8018 )}

\frac{ln ( 2 )}{ln ( 0.36328 \dots )}

Decimal Notation

- 0.68454 \dots

Solution steps

\frac{ln ( 2 )}{ln ( 21.3619 ) - ln ( 58.8018 )}

Apply log rule:

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

ln (21.3619) - ln (58.8018) = ln (\frac{21.3619}{58.8018})

= \frac{ln ( 2 )}{ln ( \frac{21.3619}{58.8018} )}

Divide the numbers:

\frac{21.3619}{58.8018} = 0.36328 \dots

= \frac{ln ( 2 )}{ln ( 0.36328 \dots )}

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What is (ln(2))/(ln(21.3619)-ln(58.8018)) ?
The solution to (ln(2))/(ln(21.3619)-ln(58.8018)) is (ln(2))/(ln(0.36328…))