Indicial Equations
This is an equations that has variables in the equation being power of indices.

Example: Solve the following equations

2 X = 16
3 X = 27
4 X = 32
9 X – 2 = 243
4 X +1 = 32
5 X – 2 = √(50/
100X – 2 = 0.0000000000000000000001
2 X – 2 = 1.728
2 X + 1 = 625
81 X – 1 = 1/729
Solution

2 X = 16
2 X = 2 4

Equating powers

X = 4



3 X = 27
3 X = 3 3

Equating powers

X = 3



4 X = 32
(2)2X = 2 5

Equating powers

2X = 5

X = 5/2



9 X – 2 = 243
3 2( X – 2) = 3 5

Equating powers

2(X – 2) = 5

2 X – 4 = 5

2X = 5 + 4

2 X = 9

X = 9/2

4 X + 1 = 1/ 32
2 2( X + 1) = 1/ (2) 5

2 2(X + 1) = 2 -5

Equating powers

2( X + 1) = – 5

2 X + 2 = -5

2X = – 5 – 2

2X = – 7

X= -7/2
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