勁急25號交~數唔識~請高手幫我

1)16^(5/4)
=(∜16)^5
=2^5
=32

2) log25+log4-log10
=log(25x4/10)
=log10
=1

3) log27/log9
=log3^3/log3^2
=3log3/2log3
=3/2
=1.5

4) log5次方10+3log5次方5-log5次方2
=log5次方10x5^3/2
=log5次方5^4
=4log5次方5
=4

5)
4^(2x+1)=8
4^2x*4=8
4^2x=2
4^2x=4^0.5
2x=0.5
x=0.25

6)
3^(2x-1)=1
3^(2x-1)=3^0
2x-1=0
x=0.5

7)
log(3x-5)=2
3x-5=100
3x=105
x=35

8)
log既3次方(2x-1)=3
3^[log既3次方(2x-1)]=3^3
2x-1=27
x=14

1)16既 5/4次方
=(16既5次方) 1/4次方
=(1048576) 1/4次方
=32

2) log25+log4-log10
=log (25*4)-log10
=log 100　除以　log 10
=1

3)log27 除以 log9
=log 3既3次方 除以 log3既2次方
=3log3 除以 2log3
=3/2

4) log5次方10+3log5次方5-log5次方2(注意:個次方係寫右下角~而唔係右上角)
=log5(右下角) 10+log5(右下角) 5既3次方-log5(右下角) 2
=log5(右下角)(10*5既3次方 / 2)
=log5(右下角) 625
=log5(右下角) 5既4次方
=4

5) 4既2x+1次方=8
4既2x次方 * 4=8
4既2x次方=2
log 4既2x次方=log2
(2x)log4=log2
2x=0.5
x=0.25

6) 3既2x-1次方=1
3既2x / 3=1
3既2x=3
2x log 3=log3
2x=1
x=1/2

7) log(3x-5)=2
log10(右下角)(3x-5)=log10(右下角)10既2次方
3x-5=10既2次方
3x=105
x=35

8) log既3次方(2x-1)=3 (注意:個次方係寫右下角~而唔係右上角)
log3(右下角)(2x-1)=log3(右下角)3既3次方
2x-1=3既3次方
2x=28
x=14