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14 December, 09:16

Complete the table.

x

1 ___

7 ___

49 ___

log7 x

___ - 1

___ - 2

A.) 1/2

B.) 0

C.) 7

D.) 1

E.) 2

F.) 49

G.) 1/7

H.) 1/49

+1
Answers (1)
  1. 14 December, 09:21
    0
    x, log7 (x)

    1, 0 (B)

    7, 1 (D)

    49, 2 (E)

    1/7, - 1 (G)

    1/49, - 2 (H)

    Step-by-step explanation:

    Powers of 7 are ...

    7^-2 = 1/7^2 = 1/49

    7^-1 = 1/7^1 = 1/7

    7^0 = 1

    7^1 = 7

    7^2 = 49

    The log (base 7) of the number on the right is the exponent on the left. That is ...

    log7 (7) = log7 (7^1) = 1

    log7 (1/49) = log7 (7^-2) = - 2
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