What is log_{2}(15)+6log_{2}(x)-4/3 log_{2}(x) ?

The solution to log_{2}(15)+6log_{2}(x)-4/3 log_{2}(x) is log_{2}(15)+14/3 log_{2}(x)

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simplify log_{2}(15)+6log_{2}(x)-4/3 log_{2}(x)

simplify

lo g_{2} (15) + 6 lo g_{2} (x) - \frac{4}{3} lo g_{2} (x)

lo g_{2} (15) + \frac{14}{3} lo g_{2} (x)

Solution steps

lo g_{2} (15) + 6 lo g_{2} (x) - \frac{4}{3} lo g_{2} (x)

Factor out common term

lo g_{2} (x)

= lo g_{2} (15) + lo g_{2} (x) (6 - \frac{4}{3})

6 - \frac{4}{3} = \frac{14}{3}

= lo g_{2} (15) + lo g_{2} (x) \frac{14}{3}

= lo g_{2} (15) + \frac{14}{3} lo g_{2} (x)

ln ((sin (2 x))^{2})

lo g_{10} (\frac{y ^{3}}{x})

ln (x) - [ln (x + 1) + 3 ln (x - 1) + 2]

lo g_{5} (2) - lo g_{5} (3)

What is log_{2}(15)+6log_{2}(x)-4/3 log_{2}(x) ?
The solution to log_{2}(15)+6log_{2}(x)-4/3 log_{2}(x) is log_{2}(15)+14/3 log_{2}(x)