What is ln((1.011*10^4)/1)*0.04316 ?

The solution to ln((1.011*10^4)/1)*0.04316 is 0.04316ln(10110)

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simplify ln((1.01110^4)/1)0.04316

simplify

ln (\frac{1.011 \cdot 1 0 ^{4}}{1}) \cdot 0.04316

0.04316 ln (10110)

Decimal Notation

0.39799 \dots

Solution steps

ln (\frac{1.011 \cdot 1 0 ^{4}}{1}) \cdot 0.04316

Apply log rule:

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

ln (\frac{1.011 \cdot 1 0 ^{4}}{1}) = ln (1.011 \cdot 1 0^{4}) - ln (1)

= 0.04316 (ln (1 0^{4} \cdot 1.011) - ln (1))

Apply log rule:

lo g_{a} (1) = 0

= 0.04316 (ln (1 0^{4} \cdot 1.011) - 0)

ln (1.011 \cdot 1 0^{4}) - 0 = ln (1.011 \cdot 1 0^{4})

= 0.04316 ln (1 0^{4} \cdot 1.011)

1 0^{4} = 10000

= 0.04316 ln (10000 \cdot 1.011)

Multiply the numbers:

10000 \cdot 1.011 = 10110

= 0.04316 ln (10110)

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

- ln (5) + ln (3)

2 ln (\frac{1}{2}) - 2 ln (\frac{3}{2})

- lo g_{10} (5.6 \cdot 1 0^{- 3})

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

What is ln((1.011*10^4)/1)*0.04316 ?
The solution to ln((1.011*10^4)/1)*0.04316 is 0.04316ln(10110)