What is 6000ln(100)-6000ln(50) ?

The solution to 6000ln(100)-6000ln(50) is 216000000000ln(2)

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simplify 6000ln(100)-6000ln(50)

simplify

6000 ln (100) - 6000 ln (50)

216000000000 ln (2)

Decimal Notation

149719791001

Solution steps

6000 ln (100) - 6000 ln (50)

Apply log rule:

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

ln (100) - ln (50) = ln (\frac{100}{50})

= 6000 \cdot 6000 ln (\frac{100}{50})

\frac{10 0 ^{6000}}{5 0 ^{6000}} = 2^{6000}

= 6000 ln (2^{6000}) \cdot 6000

Simplify

ln (2^{6000}) : 6000 ln (2)

= 6000 \cdot 6000 \cdot 6000 ln (2)

Multiply the numbers:

6000 \cdot 6000 \cdot 6000 = 216000000000

= 216000000000 ln (2)

lo g_{3} (147) - lo g_{3} (70) - lo g_{3} (189)

ln (2 \cdot 1)

x - ln ∣ x + 4 ∣ + ln ∣ x ∣

\frac{4 \cdot π \cdot 1 0 ^{- 7}}{2 \cdot π} \cdot ln (\frac{27}{16})

5 ln (x^{3}) - 2 ln (x^{4})

What is 6000ln(100)-6000ln(50) ?
The solution to 6000ln(100)-6000ln(50) is 216000000000ln(2)