What is log_{10}(5b)+log_{10}(2c^2) ?

The solution to log_{10}(5b)+log_{10}(2c^2) is log_{10}(10bc^2)

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simplify log_{10}(5b)+log_{10}(2c^2)

simplify

lo g_{10} (5 b) + lo g_{10} (2 c^{2})

lo g_{10} (10 b c^{2})

Solution steps

lo g_{10} (5 b) + lo g_{10} (2 c^{2})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (5 b) + lo g_{10} (2 c^{2}) = lo g_{10} (5 b \cdot 2 c^{2})

= lo g_{10} (5 b \cdot 2 c^{2})

Simplify

5 b \cdot 2 c^{2} : 10 b c^{2}

= lo g_{10} (10 b c^{2})

ln (a + b) + 4 ln (a - b) - 4 ln (c)

lo g_{2} (7) - lo g_{2} (3)

ln (\frac{x}{1 - x})

ln (x y z^{2})

What is log_{10}(5b)+log_{10}(2c^2) ?
The solution to log_{10}(5b)+log_{10}(2c^2) is log_{10}(10bc^2)