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

The solution to 3log_{10}(x)-log_{10}(2) is log_{10}((x^3)/2)

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

simplify

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

lo g_{10} (\frac{x ^{3}}{2})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{10} (x) = lo g_{10} (x^{3})

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (x^{3}) - lo g_{10} (2) = lo g_{10} (\frac{x ^{3}}{2})

= lo g_{10} (\frac{x ^{3}}{2})

ln (\frac{z}{e})

ln (\frac{5}{4}) + 1

lo g_{10} ((1 + i \cdot 3)^{2022})

2 ln (5) + (- \frac{1}{5}) + 3 ln (6) - (- 2 ln (1) - 1 + 3 ln (2))

- lo g_{10} (6.656 \cdot 1 0^{- 5})

What is 3log_{10}(x)-log_{10}(2) ?
The solution to 3log_{10}(x)-log_{10}(2) is log_{10}((x^3)/2)