What is 3-log_{10}(2)-2log_{10}(5) ?

The solution to 3-log_{10}(2)-2log_{10}(5) is 3-log_{10}(50)

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simplify 3-log_{10}(2)-2log_{10}(5)

simplify

3 - lo g_{10} (2) - 2 lo g_{10} (5)

3 - lo g_{10} (50)

Decimal Notation

1.30102 \dots

Solution steps

3 - lo g_{10} (2) - 2 lo g_{10} (5)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

- 2 lo g_{10} (5) = - lo g_{10} (5^{2})

= 3 - lo g_{10} (2) - lo g_{10} (5^{2})

- lo g_{10} (2) - lo g_{10} (5^{2}) = - lo g_{10} (50)

= 3 - lo g_{10} (50)

lo g_{4} (x y)

lo g_{10} (12) + lo g_{10} (6)

lo g_{10} (y^{7} x z^{3})

ln ∣ 3 - 2 ∣ - \frac{3}{2} ln ∣ 2 (3) - 1 ∣ + 2 ln ∣ 3 + 3 ∣

lo g_{5} (\frac{x}{25 y ^{3}})

What is 3-log_{10}(2)-2log_{10}(5) ?
The solution to 3-log_{10}(2)-2log_{10}(5) is 3-log_{10}(50)