SOLUTION: Condense the expression. 3log(base 10)2-log(base 10)y+1/3log(base 10)x
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Question 37534
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Condense the expression. 3log(base 10)2-log(base 10)y+1/3log(base 10)x
Answer by
fractalier(6550)
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Okay...using the laws of logs, we have
3log 2 - log y + 1/3log x =
log(2^3) - log y + log (x^1/3) =
log(8) - log y + log (x^1/3) =
[log(8) + log (x^1/3)] - log y =
log [8x^(1/3) / y]