高一数学几道小题,懒得做,谢谢
3个回答
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例一。(1) log(2)1/128=-5, (2) log(3)27=3, (3) lg0.01=-2,
(4) (1/2)^(-5)=32, (5) 10^(-3)=0.001, (6) 10^4.606=100.
变式:(1)log(1/2)32=log(2)1/32=-5 (2) lg0.001=-3.
例二。(1) log(5)25=2, (2) log(2)1/16=-4, (3) lg10000=4.
例三。(1) log (9)27=2/3, (2) log(3)243=5, (3) log(根号3)81=8,
(4) log(2+根号3)[2-根号3]=-1, (5) log(根号5^2)625=4.
例四。(1) log (5)25=2, (2) log(0.5)1=0, (3) log(2) (4^8x2^7)=23,
(4) lg4次根号100=1/2.
例五。(1) log(2)log(5)x=0
log(5)x=1
x=5
(2) log(2)(x^2-2)=1
x^2-2=2
x^2=4
x=正负2。
(4) (1/2)^(-5)=32, (5) 10^(-3)=0.001, (6) 10^4.606=100.
变式:(1)log(1/2)32=log(2)1/32=-5 (2) lg0.001=-3.
例二。(1) log(5)25=2, (2) log(2)1/16=-4, (3) lg10000=4.
例三。(1) log (9)27=2/3, (2) log(3)243=5, (3) log(根号3)81=8,
(4) log(2+根号3)[2-根号3]=-1, (5) log(根号5^2)625=4.
例四。(1) log (5)25=2, (2) log(0.5)1=0, (3) log(2) (4^8x2^7)=23,
(4) lg4次根号100=1/2.
例五。(1) log(2)log(5)x=0
log(5)x=1
x=5
(2) log(2)(x^2-2)=1
x^2-2=2
x^2=4
x=正负2。
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