Test: Logarithms II - Challenging

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Question 1:   Find x : 2= log 8 x
64
49
16
256
Question 2:   Find x : x= log 3 243
5
81
27
9
Question 3:   Solve log 2 8+ log 8 2
16
3 1 3
4
1
Question 4:   Express log 7 x as multiple of log 10 x
log 10 x log 3 x
log 10 x log 3 x
log 10 x log 3 x
log 10 x log 7 10
Question 5:   Express log 4 17 in terms of the logarithms base 10
17 log 10 4
log 10 17/ log 10 4
4 log 10 17
log 10 4/ log 10 17
Question 6:   Simplify 3 log a 2x+2 log a x 2 6 log a x
log a ( x x 2 )
2 log a x
log a 6 x 2
log a 8x
Question 7:   Simplify 2 log a 1 2 x log a 3x+2 log a 2x
log a 3 4 x 3
log a 4 3 x 2
log a ( x 3 3 )
3 log a x
Question 8:   Find x : 6 log a x 1 3 log a 2x=2 log a x
x=1
x=2
x= 1 2
x= 2
Question 9:   Find x : 12 log 12 5 =x
x=4
x=12
x=5
x= 1 5
Question 10:   Find y in terms of x : 2 log a x+3 log a y=3 log a 2x+3 log a y
y=4 x 2 3
y= 1 2 x 4
y=3 x 5
y= 1 4 x 3