What is 2log_{10}(bx)+3log_{10}(b)y ?

The solution to 2log_{10}(bx)+3log_{10}(b)y is 2log_{10}(b)+2log_{10}(x)+3log_{10}(b)y

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simplify 2log_{10}(bx)+3log_{10}(b)y

simplify

2 lo g_{10} (b x) + 3 lo g_{10} (b) y

2 lo g_{10} (b) + 2 lo g_{10} (x) + 3 lo g_{10} (b) y

Solution steps

2 lo g_{10} (b x) + 3 lo g_{10} (b) y

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

2 lo g_{10} (b x) = 2 lo g_{10} (b) + 2 lo g_{10} (x)

= 2 lo g_{10} (b) + 2 lo g_{10} (x) + 3 y lo g_{10} (b)

lo g_{3} (x) - lo g_{3} (x^{6})

lo g_{4} (6 x) - lo g_{4} (10)

5 lo g_{b} (x^{2}) + lo g_{b} (x)

lo g_{4} (9^{3})

lo g_{10} (\frac{x y ^{4}}{z ^{5}})

What is 2log_{10}(bx)+3log_{10}(b)y ?
The solution to 2log_{10}(bx)+3log_{10}(b)y is 2log_{10}(b)+2log_{10}(x)+3log_{10}(b)y