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Popular >

simplify log_{10}(4x)

Solution

simplify

lo g_{10} (4 x)

Solution

2 lo g_{10} (2) + lo g_{10} (x)

Solution steps

lo g_{10} (4 x)

Apply log rule:

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

lo g_{10} (4 x) = lo g_{10} (4) + lo g_{10} (x)

= lo g_{10} (4) + lo g_{10} (x)

lo g_{10} (4) = 2 lo g_{10} (2)

= 2 lo g_{10} (2) + lo g_{10} (x)

Popular Examples

simplify 3log_{2}(5)+log_{2}(3)simplify

3 lo g_{2} (5) + lo g_{2} (3)

simplify log_{1/4}(16z(x^3-27))simplify

lo g_{\frac{1}{4}} (16 z (x^{3} - 27))

simplify-2/3 log_{2}(2/3)-1/3 log_{2}(1/3)simplify

- \frac{2}{3} lo g_{2} (\frac{2}{3}) - \frac{1}{3} lo g_{2} (\frac{1}{3})

simplify 2(log_{5}(x)+2log_{5}(y)-3log_{5}(z))simplify

2 (lo g_{5} (x) + 2 lo g_{5} (y) - 3 lo g_{5} (z))

simplify log_{b}(2x)simplify

lo g_{b} (2 x)

Frequently Asked Questions (FAQ)

What is log_{10}(4x) ?
The solution to log_{10}(4x) is 2log_{10}(2)+log_{10}(x)