What is 2log_{10}(4)+2log_{10}(x) ?

The solution to 2log_{10}(4)+2log_{10}(x) is log_{10}(16x^2)

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simplify 2log_{10}(4)+2log_{10}(x)

simplify

2 lo g_{10} (4) + 2 lo g_{10} (x)

lo g_{10} (16 x^{2})

Solution steps

2 lo g_{10} (4) + 2 lo g_{10} (x)

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

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

= lo g_{10} (4^{2}) + lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (4^{2}) + lo g_{10} (x^{2}) = lo g_{10} (4^{2} x^{2})

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

Simplify

4^{2} x^{2} : 16 x^{2}

= lo g_{10} (16 x^{2})

ln (\frac{x}{x + 2})

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

ln (72) - ln (3)

lo g_{10} (\frac{a ^{2}}{b})

ln (\frac{2 x - 5}{cos ^{2} ( 3 x )})

What is 2log_{10}(4)+2log_{10}(x) ?
The solution to 2log_{10}(4)+2log_{10}(x) is log_{10}(16x^2)