What is log_{2}(x)+log_{2}(16)+3log_{2}(1/2) ?

The solution to log_{2}(x)+log_{2}(16)+3log_{2}(1/2) is log_{2}(x)+1

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simplify log_{2}(x)+log_{2}(16)+3log_{2}(1/2)

simplify

lo g_{2} (x) + lo g_{2} (16) + 3 lo g_{2} (\frac{1}{2})

lo g_{2} (x) + 1

Solution steps

lo g_{2} (x) + lo g_{2} (16) + 3 lo g_{2} (\frac{1}{2})

lo g_{2} (16) = 4

3 lo g_{2} (\frac{1}{2}) = - 3

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

Subtract the numbers:

4 - 3 = 1

= lo g_{2} (x) + 1

lo g_{7} (\frac{5 z}{6})

3 lo g_{2} (5) + lo g_{2} (7)

4 ln (x) + 2 ln (y) - 3 ln (z)

lo g_{10} (x + 1) + lo g_{10} (2 x) - lo g_{10} (x)

6 lo g_{3} (u) + 5 lo g_{3} (v)

What is log_{2}(x)+log_{2}(16)+3log_{2}(1/2) ?
The solution to log_{2}(x)+log_{2}(16)+3log_{2}(1/2) is log_{2}(x)+1