What is log_{10}(25)+log_{10}(40) ?

The solution to log_{10}(25)+log_{10}(40) is 3

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simplify log_{10}(25)+log_{10}(40)

simplify

lo g_{10} (25) + lo g_{10} (40)

3

Solution steps

lo g_{10} (25) + lo g_{10} (40)

Apply log rule:

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

lo g_{10} (25) + lo g_{10} (40) = lo g_{10} (25 \cdot 40)

= lo g_{10} (25 \cdot 40)

Multiply the numbers:

25 \cdot 40 = 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{x ^{2} - 12 x + 32}{x ^{2} - 64}

160000

- \frac{27}{64} a^{9} b^{6}

(3 x - 4) 2

14 x + 63

What is log_{10}(25)+log_{10}(40) ?
The solution to log_{10}(25)+log_{10}(40) is 3