What is 200ln((400)/(500-490)) ?

The solution to 200ln((400)/(500-490)) is 200(2ln(20)-ln(10))

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simplify 200ln((400)/(500-490))

simplify

200 ln (\frac{400}{500 - 490})

200 (2 ln (20) - ln (10))

Decimal Notation

737.77589 \dots

Solution steps

200 ln (\frac{400}{500 - 490})

Apply log rule:

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

ln (\frac{400}{500 - 490}) = ln (400) - ln (500 - 490)

= 200 (ln (400) - ln (500 - 490))

Subtract the numbers:

500 - 490 = 10

= 200 (ln (400) - ln (10))

ln (400) = 2 ln (20)

= 200 (2 ln (20) - ln (10))

2^{\frac{l n ( 3 )}{l n ( 2 ) - l n ( 3 )}}

6 lo g_{3} (5 x + 2) + 5 lo g_{3} (3 x + 6)

e^{(x - 2 y)} - ln (2 x^{(2)} y)

lo g_{a} (\frac{( 5 ^{2} y )}{- 1 ^{3}})

ln (\frac{1}{0.975})

What is 200ln((400)/(500-490)) ?
The solution to 200ln((400)/(500-490)) is 200(2ln(20)-ln(10))