What is simplify-log_{10}(0.1M) ?

The solution to simplify-log_{10}(0.1M) is 1-log_{10}(M)

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simplify-log_{10}(0.1M)

simplify

- lo g_{10} (0.1 M)

1 - lo g_{10} (M)

Solution steps

- lo g_{10} (0.1 M)

Apply log rule:

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

- lo g_{10} (0.1 M) = - (lo g_{10} (0.1) + lo g_{10} (M))

= - (lo g_{10} (0.1) + lo g_{10} (M))

lo g_{10} (0.1) = - 1

= - (- 1 + lo g_{10} (M))

Apply the distributive law:

- (- a + b) = a - b

- (- 1 + lo g_{10} (M)) = 1 - lo g_{10} (M)

= 1 - lo g_{10} (M)

x + 4 lo g_{5} (y) - 2 lo g_{5} (z)

- \cdot ln (\frac{v _{1}}{v _{4}})

ln (\frac{643}{30})

ln (\frac{70}{50}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.01) \cdot 4

ln ∣ y ∣ + ln ∣ x ∣

What is simplify-log_{10}(0.1M) ?
The solution to simplify-log_{10}(0.1M) is 1-log_{10}(M)