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soldi70 [24.7K]
3 years ago
8

How would you solve this?

Mathematics
2 answers:
Makovka662 [10]3 years ago
5 0
It would have 3 solutions
if you solve the equation how it is, it give 1 solution but if you make the 1 negative you get 2 more possibilities
nataly862011 [7]3 years ago
5 0

Answer:

The equation has three solutions:

x= \frac{1}{2} + \frac{1}{2} log_{2} (3)

x=1    

x = \frac{1}{2}

Step-by-step explanation:

||4^{x} - 3|-2| = 1

|4^{x} - 3|-2 = 1                                                |4^{x} - 3|-2 = - 1

|4^{x} - 3| = 1+2                                                 |4^{x} - 3| = -1+2

|4^{x} - 3|=3                                                       |4^{x} - 3| = 1

4^{x} - 3 =3                 4^{x} - 3 = - 3                     4^{x} - 3 = 1                 4^{x} - 3 = - 1

x= \frac{1}{2} + \frac{1}{2} log_{2} (3)        x∉∅                                x=1                           x = \frac{1}{2}

The union of these four solutions is: \frac{1}{2} , 1, \frac{1}{2} + \frac{1}{2} log_{2} (3)

I hope this is clearly and understandably written to you :)

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