What is 2ln(7)+ln((pi^6)/3) ?

The solution to 2ln(7)+ln((pi^6)/3) is 2ln(7)++6ln(pi)-ln(3)

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simplify 2ln(7)+ln((pi^6)/3)

simplify

2 ln (7) + ln (\frac{π ^{6}}{3})

2 ln (7) + + 6 ln (π) - ln (3)

Decimal Notation

9.66158 \dots

Solution steps

2 ln (7) + ln (\frac{π ^{6}}{3})

Apply log rule:

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

ln (\frac{π ^{6}}{3}) = ln (π^{6}) - ln (3)

= 2 ln (7) + + ln (π^{6}) - ln (3)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (π^{6}) = 6 ln (π)

= 2 ln (7) + + 6 ln (π) - ln (3)

ln (7) + ln (14)

10 ln (\frac{x}{y})

ln (\frac{x ^{4}}{y})

ln ((ln (x))^{l n (x)})

ln (\frac{cos ( x ) - 1}{cos ( x ) - 2})

What is 2ln(7)+ln((pi^6)/3) ?
The solution to 2ln(7)+ln((pi^6)/3) is 2ln(7)++6ln(pi)-ln(3)