What is join (5ln(2))/(ln(533/500)) ?

The solution to join (5ln(2))/(ln(533/500)) is (ln(32))/(ln(533/500))

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join (5ln(2))/(ln(533/500))

join

\frac{5 ln ( 2 )}{ln ( \frac{533}{500} )}

\frac{ln ( 32 )}{ln ( \frac{533}{500} )}

Decimal Notation

54.22556 \dots

Solution steps

\frac{5 ln ( 2 )}{ln ( \frac{533}{500} )}

Apply log rule:

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

5 ln (2) = ln (2^{5})

= \frac{ln ( 2 ^{5} )}{ln ( \frac{533}{500} )}

2^{5} = 32

= \frac{ln ( 32 )}{ln ( \frac{533}{500} )}

ln (\frac{8}{8 + 4})

ln (6) - 2 ln (2)

\frac{d}{d x} (\frac{1}{ln ( x ^{2} )}) - ln (\frac{1}{x ^{2}})

\frac{\frac{3}{2} ln b ^{3} + 1 - ln ∣ 3 b + 1 ∣}{3}

- \frac{1}{2} ln (\frac{1}{4})

What is join (5ln(2))/(ln(533/500)) ?
The solution to join (5ln(2))/(ln(533/500)) is (ln(32))/(ln(533/500))