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28 August, 03:50

Solve the logarithmic equation for x.

2 log x = log 2 + log (3x - 4)

x = [

(smaller value)

X

=

(larger value)

+3
Answers (1)
  1. 28 August, 07:40
    0
    x = 2 or x = 4

    Step-by-step explanation:

    Solve: 2 log x = log 2 + log (3x - 4)

    log (x^2) = log 2 + log (3x - 4)

    log (x^2) = log [2 * (3x - 4) ]

    x^2 = 2 * (3x - 4)

    x^2 = 6x - 8

    x^2 - 6x + 8 = 0

    factor:

    (x - 2) (x - 4) = 0

    x = 2 or x = 4
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