What is 7089.884206*ln((x^2)/(4.5*10^8)) ?

The solution to 7089.884206*ln((x^2)/(4.5*10^8)) is 7089.884206(2ln(x)-ln(450000000))

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simplify 7089.884206ln((x^2)/(4.510^8))

simplify

7089.884206 \cdot ln (\frac{x ^{2}}{4.5 \cdot 1 0 ^{8}})

7089.884206 (2 ln (x) - ln (450000000))

Solution steps

7089.884206 ln (\frac{x ^{2}}{4.5 \cdot 1 0 ^{8}})

Apply log rule:

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

ln (\frac{x ^{2}}{4.5 \cdot 1 0 ^{8}}) = ln (x^{2}) - ln (4.5 \cdot 1 0^{8})

= 7089.884206 (ln (x^{2}) - ln (1 0^{8} \cdot 4.5))

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= 7089.884206 (2 ln (x) - ln (4.5 \cdot 1 0^{8}))

ln (4.5 \cdot 1 0^{8}) = ln (450000000)

= 7089.884206 (2 ln (x) - ln (450000000))

ln (\frac{8 u + 3}{8 u - 3})

e^{x + l n (x)} + ln (\frac{1}{x ^{3}})

lo g_{5} (7 \cdot 11)

- 12 (\frac{1}{2} ln ∣ 8 x - 8 ∣ - \frac{1}{2} ln ∣ 8 x - 10 ∣) + C

- \frac{1}{40} ln (\frac{1}{10})

What is 7089.884206*ln((x^2)/(4.5*10^8)) ?
The solution to 7089.884206*ln((x^2)/(4.5*10^8)) is 7089.884206(2ln(x)-ln(450000000))