作业帮log10(x^3) + log10(y^2) = 11 log10(x^2) + log10(y^3) = 3 求解方程组.
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log10(x^3) + log10(y^2) = 11 log10(x^2) + log10(y^3) = 3 求解方程组.
log10(x^3) + log10(y^2) = 11 log10(x^2) + log10(y^3) = 3 求解方程组.
log10(x^3) + log10(y^2) = 11 log10(x^2) + log10(y^3) = 3 求解方程组.
log10(x^3) + log10(y^2) = 11,可得：x^3y^2=10^11 log10(x^2) + log10(y^3) = 3 ,可得：x^2y^3=10^3 则有：x^3y^2/(x^2y^3)=10^11/10^3,可得：x/y=10^8,x=10^8y 将x=10^8y代入x^3y^2=10^11,则有：（10^8y）^3y^2=10^11 10^24y^5=10^11 y^5=10^(-13) y=10^(-13/5) 所以：x=10^8y=10^8*10^(-13/5)=10^（27/5） 所以方程组的解为：x=10^（27/5）,y=10^(-13/5) 其中对数的运算公式必须清楚：loga(M)+loga(N)=loga(MN)
如果 log10 x = 3 + log10 y, 求 的解.
log10(x^3) + log10(y^2) = 11 log10(x^2) + log10(y^3) = 3 求解方程组.
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