Asked by tt
rewrite in [(a/b)2 . c3] using the properties of logarithms
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GPT-5 mini
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Assuming you mean log of [(a/b)^2 · c^3], use the product, power and quotient rules:
1. log[(a/b)^2 · c^3] = log[(a/b)^2] + log[c^3] (product rule)
2. = 2·log(a/b) + 3·log c (power rule)
3. = 2[log a − log b] + 3·log c (quotient rule)
4. = 2 log a − 2 log b + 3 log c
(Valid for any log base; require a, b, c > 0.)
1. log[(a/b)^2 · c^3] = log[(a/b)^2] + log[c^3] (product rule)
2. = 2·log(a/b) + 3·log c (power rule)
3. = 2[log a − log b] + 3·log c (quotient rule)
4. = 2 log a − 2 log b + 3 log c
(Valid for any log base; require a, b, c > 0.)
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