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Aleksandr [31]
3 years ago
6

How do you solve the equation 7^(7n+7)=2,401

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0
7^(7n + 7) = 2401
apply log on both sides to solve the equation
log 7^(7n + 7) = log 2401
the power is brought forward
(7n + 7) log 7 = log 2401
7n +7 = log 2401 / log 7
7n + 7 = 4
7n = -3
n = -3/7

Hope it helped!
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Answer:

The answer to your question is a)  y = 1.5x - 6    

                                                    b)   y = -4x + 6.1

                                                    c) Point (2.2, -2.7)

Step-by-step explanation:

First line                                                Second line

P (0, -6)           Q (1, -4.5)                        R (0, 6.1)       S (1, 2.1)

m = (-4.5 + 6) / (1 - 0)                              m = (2.1 - 6.1) / (1 - 0)

m = 1.5 / 1                                                m = -4/1

m = 1.5                                                    m = -4

Line                                                         Line

  y - y1 = m(x - x1)                                   y - 6.1 = -4(x - 0)

  y + 6 = 1.5(x)                                        y - 6.1 = -4x

  y = 1.5x - 6                                           y = -4x + 6.1

Solve the system by equality

                             1.5x - 6 = -4x + 6.1

                              1.5x + 4x = 6.1 + 6

                                    5.5x = 12.1

                                         x = 12.1 / 5.5

                                         x = 2.2

Find y

                             y = 1.5(2.2) - 6

                             y = 3.3 - 6

                             y = -2.7

Point (2.2, -2.7)

6 0
3 years ago
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