Question

:log2 (x+1) - log2 (x - 4)= 3
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Answer 1

Answer:

x = 4.71

Step-by-step explanation:

=> log2 (x+1) - log2 (x-4) = 3

=> log2 (x+1/x-4) = 3

=> x+1/x-4 = 2³

=> x+1/x-4 = 8

=> x+1 = 8(x-4)

=> x+1 = 8x - 32

=> x + 1 - 8x = -32

=> x - 8x = -32 - 1

=> -7x = -32 - 1

=> -7x = -33

=> x = 33/7

=> x = 4.71