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Hoochie [10]
3 years ago
6

Solve 5^(2x+1) = 25 in logarithmic form

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

The answer to your question is:  x = 1/2

Step-by-step explanation:

                                            5^(2x + 1) = 25

Find the prime factors of 25

                                               25    5

                                                 5    5

                                                  1

Then                                    25 = 5²    

The equation can be expressed as:

                                          5^(2x + 1) = 5^2

As the base is the same (5), eliminate it.

                                              2x + 1 = 2                     Solve for x

                                              2x = 2 -1                      

                                              2x = 1

                                             x = 1/2                          Result

                                 

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