What is 4log_{10}(x/5) ?

The solution to 4log_{10}(x/5) is 4log_{10}(x)-4log_{10}(5)

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simplify 4log_{10}(x/5)

simplify

4 lo g_{10} (\frac{x}{5})

4 lo g_{10} (x) - 4 lo g_{10} (5)

Solution steps

4 lo g_{10} (\frac{x}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{x}{5}) = lo g_{10} (x) - lo g_{10} (5)

= 4 (lo g_{10} (x) - lo g_{10} (5))

Apply the distributive law:

a (b - c) = ab - a c

4 (lo g_{10} (x) - lo g_{10} (5)) = 4 lo g_{10} (x) - 4 lo g_{10} (5)

= 4 lo g_{10} (x) - 4 lo g_{10} (5)

- lo g_{10} (6.5 \cdot 1 0^{- 5})

lo g_{3} (x) + lo g_{3} (x + 8)

- lo g_{10} (7.2 \cdot 1 0^{- 4})

lo g_{10} (5 x^{2} y)

What is 4log_{10}(x/5) ?
The solution to 4log_{10}(x/5) is 4log_{10}(x)-4log_{10}(5)