What is 0.5ln(100/2)+0.5ln(100/2) ?

The solution to 0.5ln(100/2)+0.5ln(100/2) is 2ln(10)-ln(2)

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simplify 0.5ln(100/2)+0.5ln(100/2)

simplify

0.5 ln (\frac{100}{2}) + 0.5 ln (\frac{100}{2})

2 ln (10) - ln (2)

Decimal Notation

3.91202 \dots

Solution steps

0.5 ln (\frac{100}{2}) + 0.5 ln (\frac{100}{2})

Apply log rule:

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

ln (\frac{100}{2}) = ln (100) - ln (2), ln (\frac{100}{2}) = ln (100) - ln (2)

= 0.5 (ln (100) - ln (2)) + 0.5 (ln (100) - ln (2))

Add similar elements:

0.5 (ln (100) - ln (2)) + 0.5 (ln (100) - ln (2)) = (ln (100) - ln (2))

= (ln (100) - ln (2))

Remove parentheses:

(a) = a

= ln (100) - ln (2)

ln (100) = 2 ln (10)

= 2 ln (10) - ln (2)

10 lo g_{10} (\frac{i}{i _{0}})

\frac{ln ( 15 )}{2 ln ( 2 )} - 7

\frac{1}{10} ln (\frac{11}{15})

ln (7 x + 4) + ln (x + 8)

ln (\frac{5 x}{x - 5})

What is 0.5ln(100/2)+0.5ln(100/2) ?
The solution to 0.5ln(100/2)+0.5ln(100/2) is 2ln(10)-ln(2)