What is 2log_{10}(x)+log_{10}(5) ?

The solution to 2log_{10}(x)+log_{10}(5) is log_{10}(x^2*5)

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simplify 2log_{10}(x)+log_{10}(5)

simplify

2 lo g_{10} (x) + lo g_{10} (5)

lo g_{10} (x^{2} \cdot 5)

Solution steps

2 lo g_{10} (x) + lo g_{10} (5)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (x) = lo g_{10} (x^{2})

= lo g_{10} (x^{2}) + lo g_{10} (5)

Apply log rule:

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

lo g_{10} (x^{2}) + lo g_{10} (5) = lo g_{10} (5 x^{2})

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

lo g_{10} (y) + 12 lo g_{10} (z)

lo g_{2} (\frac{x}{8})

lo g_{2} (2 x)

lo g_{10} (\frac{y}{100000})

3 lo g_{b} (x) + lo g_{b} (2 x + 1)

What is 2log_{10}(x)+log_{10}(5) ?
The solution to 2log_{10}(x)+log_{10}(5) is log_{10}(x^2*5)