Test: Logarithms II - Ambitious

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Question 1:   Calculate 25 log 5 ( 4 ) + e 2-ln( e 2 ) + 3 log 5 ( 5 ) =...
20
8
1
16
Question 2:   Find x , if x log 4 ( 16 ) =25
x 1 =2, x 2 =-2
x=4
x= 5 2
x 1 =5, x 2 =-5
Question 3:   Calculate log 5 ( 48 ) , if log 5 ( 3 )=a, log 5 ( 2 )=b
a+4b
a 2 b 2
2a+4b
a+b
Question 4:   Find x , if log 1 6 ( x 2 -7x+18 )=-1
x=1
x=0
x 1 =3, x 2 =4
x 1 =-3, x 2 =4
Question 5:   Find x , if log 4 ( x 4096 )× log 4 ( x )=7
x 1 =4096, x 2 =8
x 1 =16384, x 2 = 1 4
x 1 =256, x 2 =16
x=32
Question 6:   Calculate log 5 ( 0.04 )+ log 5 ( 25 )=...
5
1
0
0.04
Question 7:   Calculate 5 3 log 5 ( 2 ) + log 1 4 ( 32 )=...
2
5.5
-5.5
0.5
Question 8:   Find x , if 2 log 5 ( x )+ log 5 ( 4 )=2
x=4
x=± 5 2
x=1
x= 5 2
Question 9:   Find x , if log 2 2 ( x )=9
x=8
x 1 =8, x 2 = 1 8
x 1 =3, x 2 = 1 3
x= 1 8
Question 10:   Find x , if log 5 ( x 2 -3x+7 )=5
x=0
x 1 =-2, x 2 =1
x 1 =2, x 2 =1
x=1