What is log_{2}((8x^4)/5) ?

The solution to log_{2}((8x^4)/5) is 3+4log_{2}(x)-log_{2}(5)

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simplify log_{2}((8x^4)/5)

simplify

lo g_{2} (\frac{8 x ^{4}}{5})

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

Solution steps

lo g_{2} (\frac{8 x ^{4}}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (\frac{8 x ^{4}}{5}) = lo g_{2} (8 x^{4}) - lo g_{2} (5)

= lo g_{2} (8 x^{4}) - lo g_{2} (5)

Simplify

lo g_{2} (8 x^{4}) : 3 + 4 lo g_{2} (x)

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

- lo g_{10} (4 \cdot 1 0^{- 9})

lo g_{3} (\frac{2 x}{y})

lo g_{4} (n m)

lo g_{9} (\frac{9 x ^{7}}{y})

5 lo g_{10} (x) + 3 lo g_{10} (x^{2})

What is log_{2}((8x^4)/5) ?
The solution to log_{2}((8x^4)/5) is 3+4log_{2}(x)-log_{2}(5)