What is 2-log_{10}(4x) ?

The solution to 2-log_{10}(4x) is 2-2log_{10}(2)-log_{10}(x)

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simplify 2-log_{10}(4x)

simplify

2 - lo g_{10} (4 x)

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

Solution steps

2 - lo g_{10} (4 x)

Simplify

lo g_{10} (4 x) : 2 lo g_{10} (2) + lo g_{10} (x)

= 2 - (2 lo g_{10} (2) + lo g_{10} (x))

Apply the distributive law:

- (a + b) = - a - b

- (2 lo g_{10} (2) + lo g_{10} (x)) = - 2 lo g_{10} (2) - lo g_{10} (x)

= 2 - 2 lo g_{10} (2) - lo g_{10} (x)

lo g_{3} (\frac{27}{x + 9})

lo g_{5} (x y)

lo g_{5} (\frac{25 a ^{5} b ^{8}}{c d})

ln (\frac{3 x}{x ^{2} + 4})

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

What is 2-log_{10}(4x) ?
The solution to 2-log_{10}(4x) is 2-2log_{10}(2)-log_{10}(x)