TOPIC 15 | logarithm basics set 1 of 16 get the full set details at the bottom of page
Question 1:
Evaluate e − lnx
Question 2:
Evaluate e 2lnx
Question 3:
lnx
Simplify ( 3e )
Question 4:
Evaluate e 3ln2 without using calculator. Show your workings clearly.
Question 5:
Solve 2log 5 x 3 + log 5 x 24 − log 5 x 8 =
3
Question 6:
Solve the equation log2 ( x − 2) =2 + log2 ( x − 5)
Question 7:
Given that log3 a = p , express log3 ( 27a 3 ) in terms of p
Question 8:
If log a x p=
=
and log a y q , express the following in terms of p and q
(i) log a x 3 y 2
(ii) log a xy
Question 9:
Solve the following equation log3 ( 2x + 1) − log3 ( x − 7 ) =
2
Question 10:
Simplify log3
1
without using calculator
27
Question 11:
Simplify 2log3 6 − log3 4 + log3 9 without using calculator
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TOPIC 15 | logarithm basics set 1 of 16 get the full set details at the bottom of page
Question 12:
Solve logx ( 3x − 2) =
2
Question 13:
Solve 2log2 x − log2 ( 3 − x) =
2
Question 14:
Solve log3 2 + log3 ( x + 4) − 2log3 x =
0
Question 15:
Solve logx 81 = 4
Question 16:
Solve lg( x − 5) + lg( 25 − x) =
2
Question 17:
Solve 3x+1 = 6 2x
Question 18:
Given
that log 5 3 0.683
=
=
and log 5 2 0.431 , find, without the use of
 1 
calculators, the values of log 5 1.5 and log 5  
 90 
Question 19:
If log3 ( 5q −=
3) log3 2p + log3 q , express q in terms of p
Question 20:
Solve 2log2=
x log2 ( 5 + x) + 4
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