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Popular >

simplify ln(1/(1+4))

Solution

simplify

ln (\frac{1}{1 + 4})

Solution

- ln (5)

+1

Decimal Notation

- 1.60943 \dots

Solution steps

ln (\frac{1}{1 + 4})

Apply log rule:

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

ln (\frac{1}{1 + 4}) = ln (1) - ln (1 + 4)

= ln (1) - ln (1 + 4)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 + 4)

Add the numbers:

1 + 4 = 5

= 0 - ln (5)

0 - ln (5) = - ln (5)

= - ln (5)

Popular Examples

simplify-log_{10}(5.8*10^{-5})simplify

- lo g_{10} (5.8 \cdot 1 0^{- 5})

simplify 2log_{e}(8)+9log_{e}(pi)-log_{e}(5)simplify

2 lo g_{e} (8) + 9 lo g_{e} (π) - lo g_{e} (5)

simplify-log_{10}(4.2\times 10^{-4})simplify

- lo g_{10} (4.2 \times 1 0^{- 4})

simplify log_{10}(3H)-2log_{10}(3S)+5log_{10}(3B)simplify

lo g_{10} (3 H) - 2 lo g_{10} (3 S) + 5 lo g_{10} (3 B)

expand log_{3}(5xy)expand

lo g_{3} (5 x y)

Frequently Asked Questions (FAQ)

What is ln(1/(1+4)) ?
The solution to ln(1/(1+4)) is -ln(5)