What is simplify-log_{10}(h^3o) ?

The solution to simplify-log_{10}(h^3o) is -3log_{10}(h)-log_{10}(o)

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simplify-log_{10}(h^3o)

simplify

- lo g_{10} (h^{3} o)

- 3 lo g_{10} (h) - lo g_{10} (o)

Solution steps

- lo g_{10} (h^{3} o)

Apply log rule:

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

- lo g_{10} (h^{3} o) = - (lo g_{10} (h^{3}) + lo g_{10} (o))

= - (lo g_{10} (h^{3}) + lo g_{10} (o))

Simplify

lo g_{10} (h^{3}) : 3 lo g_{10} (h)

= - (3 lo g_{10} (h) + lo g_{10} (o))

Apply the distributive law:

- (a + b) = - a - b

- (3 lo g_{10} (h) + lo g_{10} (o)) = - 3 lo g_{10} (h) - lo g_{10} (o)

= - 3 lo g_{10} (h) - lo g_{10} (o)

- lo g_{10} (6.3 \times 1 0^{- 5})

lo g_{2} (\frac{2 x + 1}{x - 5})

4 lo g_{10} (3 x) - 2 lo g_{10} (y)

3 ln (x) + 2 ln (y) - 5 ln (z)

What is simplify-log_{10}(h^3o) ?
The solution to simplify-log_{10}(h^3o) is -3log_{10}(h)-log_{10}(o)