Question

Log (x + 1) − Log ( x − 2) = 2 − 2Log (5)

Answer 1

Log(x + 1) - Log(x - 2) = 2 - 2Log(5)

Log(x + 1/x - 2) = Log(10²) + Log(5⁻²)

Log(x + 1/x - 2) = Log(10² × 5⁻²)

Log(x + 1/x - 2) = Log(2² × 5² × 1/5²)

Log(x + 1/x - 2) = Log(2²)

Log(x + 1/x - 2) = Log(4)

x + 1/x - 2 = 4

x + 1 = 4(x - 2)

x + 1 = 4x - 8

x - 4x = -8 - 1

-3x = -9

x = 3

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