Logarithms Worksheets
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1
2Logarithms
Find, giving your answer to 3 significant figures where appropriate, the value of x for which
x
(a) 3
= 5,
(3)
(b) log
(2x + 1) – log
x = 2.
2
2
(4)
Solve
x
(a) 5
= 8, giving your answers to 3 significant figures,
(3)
(b) log
(x + 1) – log
x = log
7.
2
2
2
(3)
(i) Write down the value of log
36.
6
(1)
(ii) Express 2 log
3 + log
11 as a single logarithm to base a.
a
a
(3)
x
Solve the equation 5
= 17, giving your answer to 3 significant figures.
(3)
x
(a) Find, to 3 significant figures, the value of x for which 8
= 0.8.
(2)
(b) Solve the equation
2 log
x – log
7x = 1.
3
3
(4)
Given that a and b are positive constants, solve the simultaneous equations
a = 3b,
log
a + log
b = 2.
3
3
Give your answers as exact numbers.
(6)
x
(a) Find, to 3 significant figures, the value of x for which 5
= 7.
(2)
2x
x
(b) Solve the equation 5
– 12(5
) + 35 = 0.
(4)
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