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Popular >

simplify log_{e}(4/5)

Solution

simplify

lo g_{e} (\frac{4}{5})

Solution

2 ln (2) - ln (5)

+1

Decimal Notation

- 0.22314 \dots

Solution steps

lo g_{e} (\frac{4}{5})

Apply log rule:

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

lo g_{e} (\frac{4}{5}) = lo g_{e} (4) - lo g_{e} (5)

= lo g_{e} (4) - lo g_{e} (5)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (4) - lo g_{e} (5)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (4) - ln (5)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (5)

Popular Examples

simplify log_{8}(9)+log_{8}(11)simplify

lo g_{8} (9) + lo g_{8} (11)

simplify 5log_{7}(v)+10log_{7}(w)-(log_{7}(u))/5 simplify

5 lo g_{7} (v) + 10 lo g_{7} (w) - \frac{lo g _{7} ( u )}{5}

simplify log_{a}(u^2v^5)simplify

lo g_{a} (u^{2} v^{5})

simplify log_{10}((10x)/7)simplify

lo g_{10} (\frac{10 x}{7})

simplify 3ln(x)-1/7 ln(y)simplify

3 ln (x) - \frac{1}{7} ln (y)

Frequently Asked Questions (FAQ)

What is log_{e}(4/5) ?
The solution to log_{e}(4/5) is 2ln(2)-ln(5)