What is expand log_{10}(z^{45}) ?

The solution to expand log_{10}(z^{45}) is 45log_{10}(z)

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expand log_{10}(z^{45})

expand

lo g_{10} (z^{45})

45 lo g_{10} (z)

Solution steps

lo g_{10} (z^{45})

Apply log rule:

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

lo g_{10} (z^{45}) = 45 lo g_{10} (z)

= 45 lo g_{10} (z)

\frac{1}{2} \cdot ln (t^{2} (x^{2} + y^{2}))

ln (e^{2} - e^{- 2}) - ln (e - e^{- 1})

ln ∣ x - 1 ∣ - ln ∣ x + 4 ∣

ln (\frac{1}{2 e ^{x^{2}}}) + ln (c)

\frac{1}{4} ln (\frac{2 - 1}{2 + 1})

What is expand log_{10}(z^{45}) ?
The solution to expand log_{10}(z^{45}) is 45log_{10}(z)