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Exponential Equations

Exponential equations have the form
a^x = b
where a and b are positive.

Example 1
2^x = 32
2^x =2⁵
x = 5

Example 2
3^x-2 = 27
3^x-2 =3³
x-2 = 3
x = 3+2 x = 5

Example 3
3(1+2^x)=51
(1+2^x) = ⁵¹/₃
1+2^x = 17
2^x = 17-1
2^x = 16
2^x = 2⁴
x = 4

Example 4
5^x = 1
5^x = 5⁰
x = 0