What is 2log_{10}(9)+2log_{10}(x) ?

The solution to 2log_{10}(9)+2log_{10}(x) is log_{10}(81x^2)

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simplify 2log_{10}(9)+2log_{10}(x)

simplify

2 lo g_{10} (9) + 2 lo g_{10} (x)

lo g_{10} (81 x^{2})

Solution steps

2 lo g_{10} (9) + 2 lo g_{10} (x)

2 lo g_{10} (9) = lo g_{10} (9^{2})

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

= lo g_{10} (9^{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} (9^{2}) + lo g_{10} (x^{2}) = lo g_{10} (9^{2} x^{2})

= lo g_{10} (9^{2} x^{2})

Simplify

9^{2} x^{2} : 81 x^{2}

= lo g_{10} (81 x^{2})

ln (x^{6})

lo g_{10} (z^{3} x^{5} y)

lo g_{8} (3 x)

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

lo g_{10} (\frac{a ^{4}}{b ^{2} c ^{3}})

What is 2log_{10}(9)+2log_{10}(x) ?
The solution to 2log_{10}(9)+2log_{10}(x) is log_{10}(81x^2)