標題:
Form 4 maths questions about exponential and logarithm(6)
發問:
7(d) 6+logx^3/log(100x) 10.If log 3=a and log 5=b,express the following in terms of a and b. (c) log√50 12. Solve the following equations.(Give your answers correct to 2 decimal places.) (c) 5^x (乘) 8^(x+1)=120 (d)6^(x+1)=12^x Ans: 7(d)3 10(c)0.5(1+b) 12(c)0.73 (d)2.58 唔該列式,多謝!
最佳解答:
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(d) 6+logx^3/log(100x) =(6+3logx)/(2+logx) =3// 10.If log 3=a and log 5=b,express the following in terms of a and b. log√50 =(1/2)log50 =(1/2)log(5*10) =(1/2)[log5+log10) =(1/2)(b+1)// 5^x * 8^(x+1)=120 40^x * 8=120 40^x=15 x=log15/log40=0.73// 6^(x+1)=12^x 6^(x+1)-2^x *(6^x)=0 6^(x)(6-2^x)=0 6^(x)=0 (rejected)or 6-2^x=0 2^x=6 x=2.58///
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