Question

solve for x : logx(2x-3/4)>2

Answer 1

Answer:

1/2 < X < 3/2

Step-by-step explanation:

log (2x - 3/4 ) base X>2

{log ( 2x - 3/4} )/ log X. > 2

log ( 2x - 3/4) >2. log X

log ( 2x - 3/4) > log X ^ 2

or. 2x - 3/4 >X ^ 2

or. 8x - 3 > 4x ^ 2

or. 0 > 4x ^2 - 8x + 3

or. 0 > 4x ^ 2 - 6x - 2x + 3

or. 0 > 2x ( 2x - 3) -1 (2x - 3)

or. 0 > (2x -3) ( 2x -1)

1/2 < X < 3/2.

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