3log(1/4)(4x-1)

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Solution for 3log(1/4)(4x-1) equation: 


D( x )

4*x-1 <= 0

4*x-1 <= 0

4*x-1 <= 0

4*x-1 <= 0 // + 1

4*x <= 1 // : 4

x <= 1/4

x in (1/4:+oo)

3 > log(1/4)(4*x-1) // - log(1/4)(4*x-1)

3-log(1/4)(4*x-1) > 0

3-log(1/4)(4*x-1) > 0 // - 3

-log(1/4)(4*x-1) > -3

-log(1/4)(4*x-1) in (-3:+oo)

-log(1/4)(4*x-1) > -3 // * -1

-log(1/4)(4*x-1) < log(1/4)((1/4)^3)

4*x-1 > (1/4)^3

4*x-(1/4)^3-1 > 0

4*x-65/64 > 0 // + 65/64

4*x > 65/64 // : 4

x > 65/64/4

x > 65/256

x in (65/256:+oo)

(65/256:+oo)

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