What is expand log_{10}(z^4x) ?

The solution to expand log_{10}(z^4x) is 4log_{10}(z)+log_{10}(x)

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expand log_{10}(z^4x)

expand

lo g_{10} (z^{4} x)

4 lo g_{10} (z) + lo g_{10} (x)

Solution steps

lo g_{10} (z^{4} x)

Apply log rule:

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

lo g_{10} (z^{4} x) = lo g_{10} (z^{4}) + lo g_{10} (x)

= lo g_{10} (z^{4}) + lo g_{10} (x)

Apply log rule:

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

lo g_{10} (z^{4}) = 4 lo g_{10} (z)

= 4 lo g_{10} (z) + lo g_{10} (x)

ln (0.7) - ln (0.3)

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ln ∣ L + V x ∣ - ln ∣ L + V y ∣

What is expand log_{10}(z^4x) ?
The solution to expand log_{10}(z^4x) is 4log_{10}(z)+log_{10}(x)