Test: Logarithms I - Ambitious

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Question 1:   Find x , if 2 log 7 ( x )+ log 7 ( 100 )=2
x=7
x= 7 10
x=1
x=± 7 10
Question 2:   Find x , if log 3 2 ( x )=4
x 1 =9, x 2 = 1 9
x 1 =4, x 2 = 1 4
x= 1 9
x=9
Question 3:   Find x , if log 3 ( x 2 -x-3 )=1
x=1
x 1 =3, x 2 =-2
x=-2
x=0
Question 4:   Find x , if log 1 7 ( x 2 -6x+15 )=-1
x=0
x=1
x=2
x 1 =2, x 2 =4
Question 5:   Find x , if log 2 ( x 512 )× log 2 ( x )=-20
x 1 =16, x 2 =8
x 1 =32, x 2 =16
x 1 =32, x 2 =16
x=32
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