What is log_{10}(7x)*log_{10}(4) ?

The solution to log_{10}(7x)*log_{10}(4) is 2log_{10}(2)(log_{10}(7)+log_{10}(x))

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simplify log_{10}(7x)*log_{10}(4)

simplify

lo g_{10} (7 x) \cdot lo g_{10} (4)

2 lo g_{10} (2) (lo g_{10} (7) + lo g_{10} (x))

Solution steps

lo g_{10} (7 x) lo g_{10} (4)

lo g_{10} (7 x) = lo g_{10} (7) + lo g_{10} (x)

lo g_{10} (4) = 2 lo g_{10} (2)

= (lo g_{10} (7) + lo g_{10} (x)) \cdot 2 lo g_{10} (2)

= 2 lo g_{10} (2) (lo g_{10} (7) + lo g_{10} (x))

lo g_{10} (50 \cdot 5^{\frac{1}{2}}) + 3 lo g_{10} (99)

ln (1 5^{'} 83)

4 lo g_{3} (x) + \frac{1}{3} lo g_{3} (y) - 5 lo g_{3} (z)

lo g_{10} (b c)

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

What is log_{10}(7x)*log_{10}(4) ?
The solution to log_{10}(7x)*log_{10}(4) is 2log_{10}(2)(log_{10}(7)+log_{10}(x))