What is expand log_{10}((sqrt(gj^5k))/(100)) ?

The solution to expand log_{10}((sqrt(gj^5k))/(100)) is log_{10}(sqrt(j)sqrt(j^4)sqrt(gk))-2

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expand log_{10}((sqrt(gj^5k))/(100))

expand

lo g_{10} (\frac{g j ^{5} k}{100})

lo g_{10} (j j^{4} g k) - 2

Solution steps

lo g_{10} (\frac{g j ^{5} k}{100})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{g j ^{5} k}{100}) = lo g_{10} (g j^{5} k) - lo g_{10} (100)

= lo g_{10} (g k j^{5}) - lo g_{10} (100)

g j^{5} k = j j^{4} g k

= lo g_{10} (j j^{4} g k) - lo g_{10} (100)

lo g_{10} (100) = 2

= lo g_{10} (j j^{4} g k) - 2

ln (\frac{5}{2})

3 ln ∣ x ∣ - 2 ln ∣ x + 1 ∣ + \frac{8}{x + 1} + C

ln (\frac{1}{x} e^{- \frac{y}{x}})

ln (\frac{47}{50}) + \frac{1}{47}

2 ln (2) + ln (10)

What is expand log_{10}((sqrt(gj^5k))/(100)) ?
The solution to expand log_{10}((sqrt(gj^5k))/(100)) is log_{10}(sqrt(j)sqrt(j^4)sqrt(gk))-2