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Popular >

simplify ln(sqrt(e))

Solution

simplify

ln (e)

Solution

\frac{1}{2}

+1

Solution steps

ln (e)

Rewrite as

= ln (e^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} ln (e)

Apply log rule:

lo g_{a} (a) = 1

= \frac{1}{2}

Popular Examples

factor 3p^2+16p+5 factor

3 p^{2} + 16 p + 5

2(x-6)^2-5>= 37

2 (x - 6)^{2} - 5 \geq 37

simplify (m^3+8m^2+19m+12)/(m+3)simplify

\frac{m ^{3} + 8 m ^{2} + 19 m + 12}{m + 3}

7(x+5)<= 5(x+1)+36

7 (x + 5) \leq 5 (x + 1) + 36

\frac{7}{12} k = 1

Frequently Asked Questions (FAQ)

What is ln(sqrt(e)) ?
The solution to ln(sqrt(e)) is 1/2