What is 3log_{10}(X)+2log_{z}(5)-log_{10}(y) ?

The solution to 3log_{10}(X)+2log_{z}(5)-log_{10}(y) is log_{10}((X^3)/y)+2log_{z}(5)

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simplify 3log_{10}(X)+2log_{z}(5)-log_{10}(y)

simplify

3 lo g_{10} (X) + 2 lo g_{z} (5) - lo g_{10} (y)

lo g_{10} (\frac{X ^{3}}{y}) + 2 lo g_{z} (5)

Solution steps

3 lo g_{10} (X) + 2 lo g_{z} (5) - lo g_{10} (y)

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}) + 2 lo g_{z} (5) - lo g_{10} (y)

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} (y) = lo g_{10} (\frac{X ^{3}}{y})

= lo g_{10} (\frac{X ^{3}}{y}) + 2 lo g_{z} (5)

8 lo g_{8} (7) - 2 lo g_{8} (6)

lo g_{a} (\frac{7 x y ^{3}}{z ^{4}})

ln (\frac{x ^{2}}{( 2 x - 11 ) ^{2}})

ln (\frac{821.85}{1643}) \cdot 10

3 lo g_{3} (x) - 7 lo g_{3} (y)

What is 3log_{10}(X)+2log_{z}(5)-log_{10}(y) ?
The solution to 3log_{10}(X)+2log_{z}(5)-log_{10}(y) is log_{10}((X^3)/y)+2log_{z}(5)