What is ln(508007*10^3)*5 ?

The solution to ln(508007*10^3)*5 is 5ln(508007)+15ln(10)

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simplify ln(50800710^3)5

simplify

ln (508007 \cdot 1 0^{3}) \cdot 5

5 ln (508007) + 15 ln (10)

Decimal Notation

100.23002 \dots

Solution steps

ln (508007 \cdot 1 0^{3}) \cdot 5

Apply log rule:

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

ln (508007 \cdot 1 0^{3}) \cdot 5 = 5 ln (508007) + 5 ln (1 0^{3})

= 5 ln (508007) + 5 ln (1 0^{3})

Apply log rule:

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

ln (1 0^{3}) = 3 ln (10)

= 5 ln (508007) + 5 \cdot 3 ln (10)

Multiply the numbers:

5 \cdot 3 = 15

= 5 ln (508007) + 15 ln (10)

- ln (\frac{100 - x}{9 x})

ln (x - 1) + ln (y)

ln (x^{2} (y))

ln (\frac{121.306}{125})

ln (4) + 3 ln (x) + 5 ln (x^{2} + 10)

What is ln(508007*10^3)*5 ?
The solution to ln(508007*10^3)*5 is 5ln(508007)+15ln(10)