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Popular >

simplify log_{10}(216)

Solution

simplify

lo g_{10} (216)

Solution

3 lo g_{10} (6)

+1

Solution steps

lo g_{10} (216)

Factor the number:

216 = 6^{3}

= lo g_{10} (6^{3})

Apply log rule:

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

lo g_{10} (6^{3}) = 3 lo g_{10} (6)

= 3 lo g_{10} (6)

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Frequently Asked Questions (FAQ)

What is log_{10}(216) ?
The solution to log_{10}(216) is 3log_{10}(6)