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Popular >

simplify 4ln(5x^{1/2})

Solution

simplify

4 ln (5 x^{\frac{1}{2}})

Solution

4 ln (5) + 2 ln (x)

Solution steps

4 ln (5 x^{\frac{1}{2}})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

4 ln (5 x^{\frac{1}{2}}) = 4 ln (5) + 4 ln (x^{\frac{1}{2}})

= 4 ln (5) + 4 ln (x^{\frac{1}{2}})

Apply log rule:

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

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

= 4 ln (5) + 4 \cdot \frac{1}{2} ln (x)

4 \cdot \frac{1}{2} ln (x) = 2 ln (x)

= 4 ln (5) + 2 ln (x)

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Frequently Asked Questions (FAQ)

What is 4ln(5x^{1/2}) ?
The solution to 4ln(5x^{1/2}) is 4ln(5)+2ln(x)