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Popular >

simplify ln(10000)-ln(5000)+5

Solution

simplify

ln (10000) - ln (5000) + 5

Solution

ln (2) + 5

+1

Decimal Notation

5.69314 \dots

Solution steps

ln (10000) - ln (5000) + 5

Apply log rule:

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

ln (10000) - ln (5000) = ln (\frac{10000}{5000})

= ln (\frac{10000}{5000}) + 5

Divide the numbers:

\frac{10000}{5000} = 2

= ln (2) + 5

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Frequently Asked Questions (FAQ)

What is ln(10000)-ln(5000)+5 ?
The solution to ln(10000)-ln(5000)+5 is ln(2)+5