What is simplify-log_{10}(2)-log_{10}(3) ?

The solution to simplify-log_{10}(2)-log_{10}(3) is -log_{10}(6)

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simplify-log_{10}(2)-log_{10}(3)

simplify

- lo g_{10} (2) - lo g_{10} (3)

- lo g_{10} (6)

Decimal Notation

- 0.77815 \dots

Solution steps

- lo g_{10} (2) - lo g_{10} (3)

Apply log rule:

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

- lo g_{10} (3) - lo g_{10} (2) = lo g_{10} (3 \cdot 2)

= - lo g_{10} (3 \cdot 2)

Multiply the numbers:

3 \cdot 2 = 6

= - lo g_{10} (6)

ln (3 x) - ln (x)

lo g_{10} (2) - lo g_{10} (6)

ln (1 + 2) - ln (- 1 + 2)

lo g_{10} (\frac{x ^{4} y}{z})

\frac{1}{2} lo g_{a} (x) - 3 lo g_{a} (y) + 6 lo g_{a} (z)

What is simplify-log_{10}(2)-log_{10}(3) ?
The solution to simplify-log_{10}(2)-log_{10}(3) is -log_{10}(6)