What is 2log_{a}(C)+3log_{a}(P)+1 ?

The solution to 2log_{a}(C)+3log_{a}(P)+1 is log_{a}(C^2P^3)+1

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simplify 2log_{a}(C)+3log_{a}(P)+1

simplify

2 lo g_{a} (C) + 3 lo g_{a} (P) + 1

lo g_{a} (C^{2} P^{3}) + 1

Solution steps

2 lo g_{a} (C) + 3 lo g_{a} (P) + 1

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{a} (C) = lo g_{a} (C^{2})

= lo g_{a} (C^{2}) + 3 lo g_{a} (P) + 1

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{a} (P) = lo g_{a} (P^{3})

= lo g_{a} (C^{2}) + lo g_{a} (P^{3}) + 1

Apply log rule:

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

lo g_{a} (C^{2}) + lo g_{a} (P^{3}) = lo g_{a} (C^{2} P^{3})

= lo g_{a} (C^{2} P^{3}) + 1

ln ∣ p ∣ - ln ∣ 1 - p ∣

\frac{2}{5} lo g_{a} (x) - \frac{1}{3} lo g_{a} (y)

ln (\frac{e ^{8}}{2})

3 lo g_{10} (d) - lo g_{10} (g)

lo g_{3} (\frac{1}{e})

What is 2log_{a}(C)+3log_{a}(P)+1 ?
The solution to 2log_{a}(C)+3log_{a}(P)+1 is log_{a}(C^2P^3)+1