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Popular >

simplify log_{x}(16)

Solution

simplify

lo g_{x} (16)

Solution

4 lo g_{x} (2)

Solution steps

lo g_{x} (16)

Factor the number:

16 = 2^{4}

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

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

= 4 lo g_{x} (2)

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Frequently Asked Questions (FAQ)

What is log_{x}(16) ?
The solution to log_{x}(16) is 4log_{x}(2)