What is \sqrt[3]{e^{ln(8x)-ln(3x)}} ?

The solution to \sqrt[3]{e^{ln(8x)-ln(3x)}} is e^{(ln(8/3))/3}

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simplify \sqrt[3]{e^{ln(8x)-ln(3x)}}

simplify

e^{\frac{l n ( \frac{8}{3} )}{3}}

Decimal Notation

1.38672 \dots

Solution steps

Apply radical rule:

= (e^{l n (8 x) - l n (3 x)})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{(l n (8 x) - l n (3 x)) \frac{1}{3}}

(ln (8 x) - ln (3 x)) \frac{1}{3} = \frac{ln ( \frac{8}{3} )}{3}

= e^{\frac{l n ( \frac{8}{3} )}{3}}

- \infty e^{- 2\infty}

9.4249800000000 \dots \cdot 1 0^{- 7}

6 \cdot (1.6022 \cdot 1 0^{- 19})

3 x^{- 0} 0.5

3 w^{3} (3 w^{3})

What is \sqrt[3]{e^{ln(8x)-ln(3x)}} ?
The solution to \sqrt[3]{e^{ln(8x)-ln(3x)}} is e^{(ln(8/3))/3}