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Popular >

expand ln((2x)^4)

Solution

expand

ln ((2 x)^{4})

Solution

4 ln (2) + 4 ln (x)

Solution steps

ln ((2 x)^{4})

Apply log rule:

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

ln ((2 x)^{4}) = 4 ln (2 x)

= 4 ln (2 x)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is expand ln((2x)^4) ?
The solution to expand ln((2x)^4) is 4ln(2)+4ln(x)