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Popular >

simplify ln(1/(1+7))

Solution

simplify

ln (\frac{1}{1 + 7})

Solution

- 3 ln (2)

+1

Decimal Notation

- 2.07944 \dots

Solution steps

ln (\frac{1}{1 + 7})

Apply log rule:

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

ln (\frac{1}{1 + 7}) = ln (1) - ln (1 + 7)

= ln (1) - ln (1 + 7)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 + 7)

Add the numbers:

1 + 7 = 8

= 0 - ln (8)

0 - ln (8) = - ln (8)

= - ln (8)

Simplify

ln (8) : 3 ln (2)

= - 3 ln (2)

Popular Examples

simplify 1/5 [log_{4}(x)+log_{4}(7)]-[log_{4}(y)]simplify

\frac{1}{5} [lo g_{4} (x) + lo g_{4} (7)] - [lo g_{4} (y)]

simplify (log_{a}(t)-log_{a}(s))+3log_{a}(u)simplify

(lo g_{a} (t) - lo g_{a} (s)) + 3 lo g_{a} (u)

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lo g_{2} (x) + 2 + lo g_{2} (x^{3}) - 4

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- 5 lo g_{6} (5 x)

Frequently Asked Questions (FAQ)

What is ln(1/(1+7)) ?
The solution to ln(1/(1+7)) is -3ln(2)