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

The solution to 3log_{10}(x)-log_{10}(5) is log_{10}((x^3)/5)

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

simplify

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

lo g_{10} (\frac{x ^{3}}{5})

Solution steps

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

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} (5)

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} (5) = lo g_{10} (\frac{x ^{3}}{5})

= lo g_{10} (\frac{x ^{3}}{5})

lo g_{10} (\frac{4 ( 8 + x ) ^{2}}{x ^{5}})

- ln (2) - m + m ln (m + 1) + ln (m + 1) + 1

- 0.7 \cdot lo g_{2} (0.7) - (1 - 0.7) \cdot lo g_{2} (1 - 0.7)

- 0.8436 ln (\frac{1}{12})

3 lo g_{m} (y) - \frac{1}{3} lo g_{m} (x) + 6 lo g_{m} (w)

What is 3log_{10}(x)-log_{10}(5) ?
The solution to 3log_{10}(x)-log_{10}(5) is log_{10}((x^3)/5)