What is expand log_{5}(z^2sqrt(x)) ?

The solution to expand log_{5}(z^2sqrt(x)) is 2log_{5}(z)+log_{5}(sqrt(x))

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expand log_{5}(z^2sqrt(x))

expand

lo g_{5} (z^{2} x)

2 lo g_{5} (z) + lo g_{5} (x)

Solution steps

lo g_{5} (z^{2} x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{5} (z^{2} x) = lo g_{5} (z^{2}) + lo g_{5} (x)

= lo g_{5} (z^{2}) + lo g_{5} (x)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{5} (z^{2}) = 2 lo g_{5} (z)

= 2 lo g_{5} (z) + lo g_{5} (x)

lo g_{10} (z^{7} y)

ln (\frac{x - 1}{x - 2})

- \frac{8}{14} lo g_{2} (\frac{8}{14}) - \frac{6}{14} lo g_{2} (\frac{6}{14})

What is expand log_{5}(z^2sqrt(x)) ?
The solution to expand log_{5}(z^2sqrt(x)) is 2log_{5}(z)+log_{5}(sqrt(x))