Given ploga=qlogb=rlogc=logx, all logarithms to the same base and x=1. If acb2=xy, then y is:
Pick one
Solution
We are given: acb2=xy Taking the logarithm on both sides: log(acb2)=logxy Using the properties of logarithms: 2logb−loga−logc=ylogx Substituting the values given in the problem statement: 2qlogx−plogx−rlogx=ylogx Since x=1, dividing each side by logx we get: y=(C) 2q−p−r ~ proloto
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Source: NuminaMath-1.5,
licensed Apache-2.0.
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