Test: Logarithms I - Ambitious

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Question 1:   Find x , if 2 log 7 ( x )+ log 7 ( 100 )=2
x=1
x=± 7 10
x=7
x= 7 10
Question 2:   Find x , if log 3 2 ( x )=4
x 1 =9, x 2 = 1 9
x= 1 9
x=9
x 1 =4, x 2 = 1 4
Question 3:   Find x , if log 3 ( x 2 -x-3 )=1
x 1 =3, x 2 =-2
x=-2
x=0
x=1
Question 4:   Find x , if log 1 7 ( x 2 -6x+15 )=-1
x=0
x 1 =2, x 2 =4
x=2
x=1
Question 5:   Find x , if log 2 ( x 512 )× log 2 ( x )=-20
x 1 =32, x 2 =16
x=32
x=16
x 1 =16, x 2 =8
Question 6:   Calculate log 2 ( 0.25 )+ log 2 ( 16 )=...
4
1
1 2
2
Question 7:   Calculate 6 2 log 6 ( 3 ) + log 1 3 ( 9 )=...
7
6
2
4
Question 8:   Calculate 4 log 2 ( 3 ) + 10 2-log( 10 ) + 2 log 4 ( 4 ) =...
8
1
10
21
Question 9:   Find x , if x log 3 ( 9 ) =4
x=2
x 1 =1, x 2 =-1
x 1 =2, x 2 =-2
x=3
Question 10:   Calculate log 13 ( 36 ) , if log 13 ( 3 )=a, log 13 ( 2 )=b
a+b
a 2 b 2
2a+2b
2a+b