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考点练21指数与对数的运算1.已知m12+m-12=4,则m32-m-32m12-m-12的值是()A.15B.12C.16D.252.计算(12log64+log63)(log312-2log32)=()A.0B.1C.2D.43.(多选)[
2024·广东韶关二模]已知10a=2,102b=5,则下列结论正确的是()A.a+2b=1B.ab<18C.ab>lg22D.a>b4.(多选)[2024·安徽宣城模拟]已知3x=5y=15,则实数x,y满足()A.x>yB.x+y<4
C.1x+1y<12D.xy>45.计算:(3-π)2+2log23+lg25-lg52=________.6.已知均不为1的正数a,b,c满足ax=by=cz,且1x+1y+1z=0,则abc的值为________.