What is 0.95ln(5*10^6)+0.05ln(6000) ?

The solution to 0.95ln(5*10^6)+0.05ln(6000) is 0.95ln(5)+5.7ln(10)+0.05ln(6000)

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simplify 0.95ln(5*10^6)+0.05ln(6000)

simplify

0.95 ln (5 \cdot 1 0^{6}) + 0.05 ln (6000)

0.95 ln (5) + 5.7 ln (10) + 0.05 ln (6000)

Decimal Notation

15.08867 \dots

Solution steps

0.95 ln (5 \cdot 1 0^{6}) + 0.05 ln (6000)

Apply log rule:

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

0.95 ln (5 \cdot 1 0^{6}) = 0.95 ln (5) + 0.95 ln (1 0^{6})

= 0.95 ln (5) + 0.95 ln (1 0^{6}) + 0.05 ln (6000)

Apply log rule:

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

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

= 0.95 ln (5) + 0.95 \cdot 6 ln (10) + 0.05 ln (6000)

Multiply the numbers:

0.95 \cdot 6 = 5.7

= 0.95 ln (5) + 5.7 ln (10) + 0.05 ln (6000)

lo g_{b} (y z^{4})

ln (\frac{x ^{2}}{4 x + 1})

ln (\frac{2}{4 + 3 x})

lo g_{10} (x y) - 1.7 lo g_{10} (y^{2})

ln (68) - ln (2)

What is 0.95ln(5*10^6)+0.05ln(6000) ?
The solution to 0.95ln(5*10^6)+0.05ln(6000) is 0.95ln(5)+5.7ln(10)+0.05ln(6000)