What is log_{7}(x^3)-log_{7}(x) ?

The solution to log_{7}(x^3)-log_{7}(x) is 2log_{7}(x)

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simplify log_{7}(x^3)-log_{7}(x)

simplify

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

2 lo g_{7} (x)

Solution steps

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

Apply log rule

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

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

= 3 lo g_{7} (x) - lo g_{7} (x)

Add similar elements:

3 lo g_{7} (x) - lo g_{7} (x) = 2 lo g_{7} (x)

= 2 lo g_{7} (x)

\frac{4 - 4 i}{8 i}

\frac{1}{800} \div \frac{1}{32000}

(2 x + 2) (x - 3 y)

3 sin^{2} (x) + 3 cos^{2} (x)

What is log_{7}(x^3)-log_{7}(x) ?
The solution to log_{7}(x^3)-log_{7}(x) is 2log_{7}(x)