What is 0.94*ln(3*10^6)+0.06ln(6000) ?

The solution to 0.94*ln(3*10^6)+0.06ln(6000) is 0.94ln(3)+5.64ln(10)+0.06ln(6000)

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simplify 0.94ln(310^6)+0.06ln(6000)

simplify

0.94 \cdot ln (3 \cdot 1 0^{6}) + 0.06 ln (6000)

0.94 ln (3) + 5.64 ln (10) + 0.06 ln (6000)

Decimal Notation

14.54124 \dots

Solution steps

0.94 ln (3 \cdot 1 0^{6}) + 0.06 ln (6000)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

0.94 ln (3 \cdot 1 0^{6}) = 0.94 ln (3) + 0.94 ln (1 0^{6})

= 0.94 ln (3) + 0.94 ln (1 0^{6}) + 0.06 ln (6000)

Apply log rule:

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

ln (1 0^{6}) = 6 ln (10)

= 0.94 ln (3) + 0.94 \cdot 6 ln (10) + 0.06 ln (6000)

Multiply the numbers:

0.94 \cdot 6 = 5.64

= 0.94 ln (3) + 5.64 ln (10) + 0.06 ln (6000)

ln (\frac{39}{51})

ln (\frac{6}{π ^{2}})

ln (\frac{5 a}{b c})

- lo g_{10} (6.2 \cdot 1 0^{- 5})

0.0259 \cdot ln (\frac{4 \cdot 1 0 ^{12}}{1.5 \cdot 1 0 ^{10}})

What is 0.94*ln(3*10^6)+0.06ln(6000) ?
The solution to 0.94*ln(3*10^6)+0.06ln(6000) is 0.94ln(3)+5.64ln(10)+0.06ln(6000)