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Popular >

expand ln(z/e)

Solution

expand

ln (\frac{z}{e})

Solution

ln (z) - 1

Solution steps

ln (\frac{z}{e})

Apply log rule:

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

ln (\frac{z}{e}) = ln (z) - ln (e)

= ln (z) - ln (e)

Apply log rule:

lo g_{a} (a) = 1

= ln (z) - 1

Popular Examples

simplify ln(5/4)+1 simplify

ln (\frac{5}{4}) + 1

expand log_{10}((1+i*sqrt(3))^{2022})expand

lo g_{10} ((1 + i \cdot 3)^{2022})

simplify 2ln(5)+(-1/5)+3ln(6)-(-2ln(1)-1+3ln(2))simplify

2 ln (5) + (- \frac{1}{5}) + 3 ln (6) - (- 2 ln (1) - 1 + 3 ln (2))

simplify-log_{10}(6.656*10^{-5})simplify

- lo g_{10} (6.656 \cdot 1 0^{- 5})

simplify (1/2)(ln(11+22(6))-ln(11-22(6)))simplify

(\frac{1}{2}) (ln (11 + 22 (6)) - ln (11 - 22 (6)))

Frequently Asked Questions (FAQ)

What is expand ln(z/e) ?
The solution to expand ln(z/e) is ln(z)-1