What is log_{10}(250)+log_{10}(4) ?

The solution to log_{10}(250)+log_{10}(4) is 3

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simplify log_{10}(250)+log_{10}(4)

simplify

lo g_{10} (250) + lo g_{10} (4)

3

Solution steps

lo g_{10} (250) + lo g_{10} (4)

Apply log rule:

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

lo g_{10} (250) + lo g_{10} (4) = lo g_{10} (250 \cdot 4)

= lo g_{10} (250 \cdot 4)

Multiply the numbers:

250 \cdot 4 = 1000

= lo g_{10} (1000)

Factor the number:

1000 = 1 0^{3}

= lo g_{10} (1 0^{3})

Apply log rule:

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

= 3

\frac{1}{8} \div \frac{1}{4}

(3 x + 4) (2 x - 3)

x + x^{3}

10 lo g_{10} (100)

(x - 6) (x - 4)

What is log_{10}(250)+log_{10}(4) ?
The solution to log_{10}(250)+log_{10}(4) is 3