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Popular >

simplify log_{2}(16(x^2-1))

Solution

simplify

lo g_{2} (16 (x^{2} - 1))

Solution

4 + lo g_{2} (x^{2} - 1)

Solution steps

lo g_{2} (16 (x^{2} - 1))

Factor the number:

16 = 2^{4}

= lo g_{2} (2^{4} (x^{2} - 1))

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{2} (2^{4} (x^{2} - 1)) = lo g_{2} (2^{4}) + lo g_{2} (x^{2} - 1)

= lo g_{2} (2^{4}) + lo g_{2} (x^{2} - 1)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{2} (2^{4}) = 4

= 4 + lo g_{2} (x^{2} - 1)

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Frequently Asked Questions (FAQ)

What is log_{2}(16(x^2-1)) ?
The solution to log_{2}(16(x^2-1)) is 4+log_{2}(x^2-1)