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Popular >

simplify ln(\sqrt[3]{e^2})

Solution

simplify

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

Rewrite as

= ln ((e^{2})^{\frac{1}{3}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{3} ln (e^{2})

Simplify

ln (e^{2}) : 2

= 2 \cdot \frac{1}{3}

Simplify

= \frac{2}{3}

Popular Examples

simplify (-8)^{1/3}simplify

(- 8)^{\frac{1}{3}}

(x - 2)^{2} = 18

simplify (x^9y^6z^7)/(x^2y^6z)simplify

\frac{x ^{9} y ^{6} z ^{7}}{x ^{2} y ^{6} z}

4(x-1)-1=2(2x-3)

4 (x - 1) - 1 = 2 (2 x - 3)

3.2+2*t=0.23t^2

3.2 + 2 \cdot t = 0.23 t^{2}

Frequently Asked Questions (FAQ)

What is ln(\sqrt[3]{e^2}) ?
The solution to ln(\sqrt[3]{e^2}) is 2/3