Solve for X: 3^2x+3^x=6
The easiest and least complicated method is to assign a VARIABLE to . I will assign a, or replace with a
Thus, becomes:
---------- is the same as , leading to
------- Subtracting 6 from each side
(a - 2)(a + 3) = 0 ------- Factoring quadratic equation to solve for a
a - 2 = 0 OR a + 3 = 0
a = 2 OR a = - 3
a = 2
Since "a" was assigned to , or was used to replace , we can then say that
------------ Exponential form
-------- Logarithmic form
, or
a = - 3
Since "a" was assigned to , or was used to replace , we can then say that
---------- Exponential form
------ Logarithmic form
IGNORE the above LOGARITHMIC FORM since a log CANNOT YIELD a value < 0.
You can do the check!!
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