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Popular >

simplify log_{2}(9x^3)

Solution

simplify

lo g_{2} (9 x^{3})

Solution

2 lo g_{2} (3) + 3 lo g_{2} (x)

Solution steps

lo g_{2} (9 x^{3})

Apply log rule:

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

lo g_{2} (9 x^{3}) = lo g_{2} (9) + lo g_{2} (x^{3})

= lo g_{2} (9) + lo g_{2} (x^{3})

lo g_{2} (9) = 2 lo g_{2} (3)

lo g_{2} (x^{3}) = 3 lo g_{2} (x)

= 2 lo g_{2} (3) + 3 lo g_{2} (x)

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Frequently Asked Questions (FAQ)

What is log_{2}(9x^3) ?
The solution to log_{2}(9x^3) is 2log_{2}(3)+3log_{2}(x)