What is 2log_{2}(3)-5log_{2}(x)+2log_{2}(4) ?

The solution to 2log_{2}(3)-5log_{2}(x)+2log_{2}(4) is log_{2}(9/(x^5))+4

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simplify 2log_{2}(3)-5log_{2}(x)+2log_{2}(4)

simplify

2 lo g_{2} (3) - 5 lo g_{2} (x) + 2 lo g_{2} (4)

lo g_{2} (\frac{9}{x ^{5}}) + 4

Solution steps

2 lo g_{2} (3) - 5 lo g_{2} (x) + 2 lo g_{2} (4)

2 lo g_{2} (4) = 4

= 2 lo g_{2} (3) - 5 lo g_{2} (x) + 4

2 lo g_{2} (3) = lo g_{2} (3^{2})

- 5 lo g_{2} (x) = - lo g_{2} (x^{5})

= lo g_{2} (3^{2}) - lo g_{2} (x^{5}) + 4

Simplify

lo g_{2} (3^{2}) - lo g_{2} (x^{5}) : lo g_{2} (\frac{9}{x ^{5}})

= lo g_{2} (\frac{9}{x ^{5}}) + 4

ln (c) - ln (d) + ln (0.017 + c) - ln (0.017 - d)

ln (\frac{x ( x ^{6} + 23 )}{x ^{3} + x - 2})

lo g_{b} (\frac{3 x ^{2}}{b ^{2}})

lo g_{4} (\frac{y ^{8}}{16 x})

6 lo g_{5} (x) + 2 lo g_{5} (4 x) - \frac{1}{5} lo g_{5} (4 - x)

What is 2log_{2}(3)-5log_{2}(x)+2log_{2}(4) ?
The solution to 2log_{2}(3)-5log_{2}(x)+2log_{2}(4) is log_{2}(9/(x^5))+4