Solve the logarithmic equation for x.

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

x = [

(smaller value)

X

=

(larger value)

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