What is log_{10}(2)+log_{10}(7) ?

The solution to log_{10}(2)+log_{10}(7) is log_{10}(14)

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simplify log_{10}(2)+log_{10}(7)

simplify

lo g_{10} (2) + lo g_{10} (7)

lo g_{10} (14)

Decimal Notation

1.14612 \dots

Solution steps

lo g_{10} (2) + lo g_{10} (7)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (7) = lo g_{10} (2 \cdot 7)

= lo g_{10} (2 \cdot 7)

Multiply the numbers:

2 \cdot 7 = 14

= lo g_{10} (14)

lo g_{b} (\frac{x}{3})

ln (x^{2} - 13 x + 36) + 2 ln (x - 4) - ln (x - 9)

lo g_{6} (\frac{216}{y})

4 lo g_{10} (x y) - 3 lo g_{10} (yz)

2 ln (x^{3}) - 3 ln (x)

What is log_{10}(2)+log_{10}(7) ?
The solution to log_{10}(2)+log_{10}(7) is log_{10}(14)