INVERSE OF LOG AND EXPONENTIAL FUNCTIONS WORKSHEET

Find the inverse of logarithmic function :

Problem 1 :

y = 2 logx3

Solution

Problem 2 :

y = log6 3

Solution

Problem 3 :

y = log2x3

Solution

Problem 4 :

y = log5(-2x)

Solution

Problem 5 :

y = log6(3x)

Solution

Problem 6 :

y = log4x + 10

Solution

Problem 7 :

y = log2x + 6

Solution

Problem 8 :

y = logx2 - 6

Solution

Problem 9 :

y = 4logx2

Solution

Problem 10 :

y = log5(x+5)

Solution

Problem 11 :

y = log(-2x)

Solution

Problem 12 :

y = log1/4x5

Solution

Problem 13 :

y = log1/5x - 4

Solution

Answer Key

1)  f-1(x) = log x2

2)  f-1(x) = log4x3

3)  f-1(x) = log3 (x - 4)

4)  f-1(x) = log6 (x - 2)

5) f-1(x) = log5-3x2+96) f-1(x) = log14-2x3+57) f-1(x) = log44x4+38) f-1(x) = ln4x5+109) f-1(x) = log4-14x10) f-1(x) = log4-2x3

Find the inverse of exponential function :

Problem 1 :

y = 10x/2

Solution

Problem 2 :

y = 4x/3

Solution

Problem 3 :

y = 3x + 4

Solution

Problem 4 :

y = 6x + 2

Solution

Problem 5 :

y=5x-9-312

Solution

Problem 6 :

y=14x-5-213

Solution

Problem 7 :

y=4x-3414

Solution

Problem 8 :

y=ex-10415

Solution

Problem 9 :

y=-141+x

Solution

Problem 10 :

y=-4x2

Answer Key

1)  f-1(x) = log x2

2)  f-1(x) = log4x3

3)  f-1(x) = log3 (x - 4)

4)  f-1(x) = log6 (x - 2)

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