Write the following equalities in logarithmic form.
Problem 1 :
8² = 64
Solution :
Given exponential form :
8² = 64
xy = k ó y = logx k
Logarithmic form :
log8 64 = 2
Problem 2 :
103 = 10000
Solution :
Given exponential form :
103 = 10000
xy = k ó y = logx k
Logarithmic form :
log10 10000 = 3
Problem 3 :
4-2 = 1/16
Solution :
Given exponential form :
4-2 = 1/16
xy = k ó y = logx k
Logarithmic form :
log4 (1/16) = -2
Problem 4 :
1/81 = 3-4
Solution :
Given exponential form :
3-4 = 1/81
xy = k ó y = logx k
Logarithmic form :
log3 (1/81) = -4
Problem 5 :
(1/2)-5 = 32
Solution :
Given exponential form :
(1/2)-5 = 32
xy = k ó y = logx k
Logarithmic form :
log1/2 32 = -5
Problem 6 :
(1/3)-3 = 27
Solution :
Given exponential form :
(1/3)-3 = 27
xy = k ó y = logx k
Logarithmic form :
log1/3 27 = -3
Problem 7 :
x2x = y
Solution :
Given exponential form :
x2z = y
xy = k ó y = logx k
Logarithmic form :
logx y = 2z
Problem 8 :
√x = y
Solution :
Given exponential form :
√x = y
Take square on both sides.
(x)1/2 = y
xy = k ó y = logx k
Logarithmic form :
logx y = 1/2
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM