What is 6ln(2)+ln((pi^8)/5) ?

The solution to 6ln(2)+ln((pi^8)/5) is 6ln(2)++8ln(pi)-ln(5)

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simplify 6ln(2)+ln((pi^8)/5)

simplify

6 ln (2) + ln (\frac{π ^{8}}{5})

6 ln (2) + + 8 ln (π) - ln (5)

Decimal Notation

11.70728 \dots

Solution steps

6 ln (2) + ln (\frac{π ^{8}}{5})

Apply log rule:

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

ln (\frac{π ^{8}}{5}) = ln (π^{8}) - ln (5)

= 6 ln (2) + + ln (π^{8}) - ln (5)

Apply log rule:

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

ln (π^{8}) = 8 ln (π)

= 6 ln (2) + + 8 ln (π) - ln (5)

3 ln (3) + 4 ln (b)

lo g_{e} (2 x - 5) - lo g_{e} (1 - (2 x - 5))

25000 lo g_{2} (1 + 1010)

ln (\frac{x}{e ^{t}})

lo g_{7} (3 x^{4})

What is 6ln(2)+ln((pi^8)/5) ?
The solution to 6ln(2)+ln((pi^8)/5) is 6ln(2)++8ln(pi)-ln(5)