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Popular >

simplify x^2-2ln(8x)

Solution

simplify

x^{2} - 2 ln (8 x)

Solution

x^{2} - 6 ln (2) - 2 ln (x)

Solution steps

x^{2} - 2 ln (8 x)

Apply log rule:

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

2 ln (8 x) = 2 ln (8) + 2 ln (x)

= x^{2} - (2 ln (x) + 2 ln (8))

2 ln (8) = 6 ln (2)

= x^{2} - (2 ln (x) + 6 ln (2))

- (6 ln (2) + 2 ln (x)) : - 6 ln (2) - 2 ln (x)

= x^{2} - 6 ln (2) - 2 ln (x)

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Frequently Asked Questions (FAQ)

What is x^2-2ln(8x) ?
The solution to x^2-2ln(8x) is x^2-6ln(2)-2ln(x)