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Popular >

simplify log_{10}(10000x)

Solution

simplify

lo g_{10} (10000 x)

Solution

4 + lo g_{10} (x)

Solution steps

lo g_{10} (10000 x)

Factor the number:

10000 = 1 0^{4}

= lo g_{10} (1 0^{4} x)

Apply log rule:

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

lo g_{10} (1 0^{4} x) = lo g_{10} (1 0^{4}) + lo g_{10} (x)

= lo g_{10} (1 0^{4}) + lo g_{10} (x)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{4}) = 4

= 4 + lo g_{10} (x)

Popular Examples

simplify-log_{10}(1.8\times 10^{-5})simplify

- lo g_{10} (1.8 \times 1 0^{- 5})

simplify log_{10}(4x)simplify

lo g_{10} (4 x)

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})

Frequently Asked Questions (FAQ)

What is log_{10}(10000x) ?
The solution to log_{10}(10000x) is 4+log_{10}(x)