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Popular >

simplify log_{d}(u^3v^4)

Solution

simplify

lo g_{d} (u^{3} v^{4})

Solution

3 lo g_{d} (u) + 4 lo g_{d} (v)

Solution steps

lo g_{d} (u^{3} v^{4})

Apply log rule:

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

lo g_{d} (u^{3} v^{4}) = lo g_{d} (u^{3}) + lo g_{d} (v^{4})

= lo g_{d} (u^{3}) + lo g_{d} (v^{4})

lo g_{d} (u^{3}) = 3 lo g_{d} (u)

lo g_{d} (v^{4}) = 4 lo g_{d} (v)

= 3 lo g_{d} (u) + 4 lo g_{d} (v)

Popular Examples

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lo g_{6} (x^{2}) - lo g_{6} (x) - lo g_{6} (y)

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lo g_{10} (8) - 2 lo g_{10} (6) - lo g_{10} (3)

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lo g_{8} (\frac{z}{64})

expand log_{5}(4x^7)expand

lo g_{5} (4 x^{7})

Frequently Asked Questions (FAQ)

What is log_{d}(u^3v^4) ?
The solution to log_{d}(u^3v^4) is 3log_{d}(u)+4log_{d}(v)