What is log_{a}(y^3)-3log_{a}(y) ?

The solution to log_{a}(y^3)-3log_{a}(y) is 0

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simplify log_{a}(y^3)-3log_{a}(y)

simplify

lo g_{a} (y^{3}) - 3 lo g_{a} (y)

0

Solution steps

lo g_{a} (y^{3}) - 3 lo g_{a} (y)

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{a} (y^{3}) = 3 lo g_{a} (y)

= 3 lo g_{a} (y) - 3 lo g_{a} (y)

Add similar elements:

3 lo g_{a} (y) - 3 lo g_{a} (y) = 0

= 0

lo g_{2} (32 a^{3})

lo g_{3} (7 x^{2})

4 x - ln (4 x)

- ln (3 (1 - x))

4 lo g_{10} (2) + 3 lo g_{10} (x)

What is log_{a}(y^3)-3log_{a}(y) ?
The solution to log_{a}(y^3)-3log_{a}(y) is 0