Log2 x 7 log2 x 8 1


Asked by maham237 @ in Mathematics viewed by 330 People


Find the exact solution to the equation. 7-log2(x+5) = 6
x = 3

x = 7

x = -3

x = -6

Answered by maham237 @



Answer:

x = -3

Step-by-step explanation:

You can try the answers to see which works. Or, you can actually solve the equation for x.

... 7 - log2(x+5) = 6

... 1 - log2(x+5) = 0 . . . . subtract 6

... 1 = log2(x+5) . . . . . . . add log2(x+5)

... 2 = x +5 . . . . . . . . . . . take the antilog

... -3 = x . . . . . . . . . . . . . subtract 5


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