What is join 3ln(2)-(7ln(3))/4 ?

The solution to join 3ln(2)-(7ln(3))/4 is 3ln(2)-(ln(2187))/4

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join 3ln(2)-(7ln(3))/4

join

3 ln (2) - \frac{7 ln ( 3 )}{4}

3 ln (2) - \frac{ln ( 2187 )}{4}

Decimal Notation

0.15687 \dots

Solution steps

3 ln (2) - \frac{7 ln ( 3 )}{4}

Apply log rule:

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

7 ln (3) = ln (3^{7})

= 3 ln (2) - \frac{ln ( 3 ^{7} )}{4}

3^{7} = 2187

= 3 ln (2) - \frac{ln ( 2187 )}{4}

7 lo g_{x} (y) + 6 lo g_{x} (z)

- lo g_{10} (9 \cdot 1 0^{- 13})

- ln (x) + ln (x - 2)

14 - lo g_{10} (1.8 \cdot 1 0^{- 5})

ln (\frac{65}{23})

What is join 3ln(2)-(7ln(3))/4 ?
The solution to join 3ln(2)-(7ln(3))/4 is 3ln(2)-(ln(2187))/4