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Popular >

simplify 10^6ln(1/(2+0.75))

Solution

simplify

1 0^{6} ln (\frac{1}{2 + 0.75})

Solution

- 1000000 ln (2.75)

+1

Decimal Notation

- 1011600.91167 \dots

Solution steps

1 0^{6} ln (\frac{1}{2 + 0.75})

Apply log rule:

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

ln (\frac{1}{2 + 0.75}) = ln (1) - ln (2 + 0.75)

= 1 0^{6} (ln (1) - ln (2 + 0.75))

Apply log rule:

lo g_{a} (1) = 0

= 1 0^{6} (- ln (2 + 0.75) + 0)

Add the numbers:

2 + 0.75 = 2.75

= 1 0^{6} (- ln (2.75) + 0)

0 - ln (2.75) = - ln (2.75)

= 1 0^{6} (- ln (2.75))

Remove parentheses:

(- a) = - a

= - 1 0^{6} ln (2.75)

1 0^{6} = 1000000

= - 1000000 ln (2.75)

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Frequently Asked Questions (FAQ)

What is 10^6ln(1/(2+0.75)) ?
The solution to 10^6ln(1/(2+0.75)) is -1000000ln(2.75)