Given that lg X = p , lg Y = q , express the following in terms of p and q:
1) lg (y ^ x)
2) xy
3) lg [(100x^half) divide by (y^2)]
4) lg (10yx^3)^half



X=10^p Y= 10^q

1) lg (y^x) = xlg y = q10^p

2) xy = (10^p)(10^q) = 10^pq

3) lg [(100x^half divide by (y^2)] = lg (100x^half) - lg y^2
= lg 100 + lg x^half - lg y^2
= lg 10^2 + half lg X - 2lg y
= 2 + half p - 2q

4) lg (10yx^3)^half = half lg (10yx^3)
= half [lg 10 + lg y + lg x^3]
= half [1 + q + 3p]





that's the answer to those 4 questions. if there are any problems or mistakes, please let me know. i hope i got the answers correct.




jiayou for common test!!!





dew

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