What is join-(5ln(2))/(ln(3)) ?

The solution to join-(5ln(2))/(ln(3)) is -(ln(32))/(ln(3))

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join-(5ln(2))/(ln(3))

join

- \frac{5 ln ( 2 )}{ln ( 3 )}

- \frac{ln ( 32 )}{ln ( 3 )}

Decimal Notation

- 3.15464 \dots

Solution steps

- \frac{5 ln ( 2 )}{ln ( 3 )}

Apply log rule:

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

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

= - \frac{ln ( 2 ^{5} )}{ln ( 3 )}

2^{5} = 32

= - \frac{ln ( 32 )}{ln ( 3 )}

7089.884206 \cdot ln (\frac{x ^{2}}{4.5 \cdot 1 0 ^{8}})

ln (\frac{8 u + 3}{8 u - 3})

e^{x + l n (x)} + ln (\frac{1}{x ^{3}})

lo g_{5} (7 \cdot 11)

- 12 (\frac{1}{2} ln ∣ 8 x - 8 ∣ - \frac{1}{2} ln ∣ 8 x - 10 ∣) + C

What is join-(5ln(2))/(ln(3)) ?
The solution to join-(5ln(2))/(ln(3)) is -(ln(32))/(ln(3))