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Popular >

2-log_{10}(4x)>= 0

Solution

2 - lo g_{10} (4 x) \geq 0

Solution

0 < x \leq 25

+1

Interval Notation

(0, 25]

Solution steps

2 - lo g_{10} (4 x) \geq 0

Move

2

to the right side

- lo g_{10} (4 x) \geq - 2

Multiply both sides by

- 1

lo g_{10} (4 x) \leq 2

Apply log rules

4 x \leq 100 and 4 x > 0

4 x \leq 100 and 4 x > 0 : 0 < x \leq 25

0 < x \leq 25

Popular Examples

log_{2}(x-1)>-1

lo g_{2} (x - 1) > - 1

log_{x-2}(3x^2-x-1)>0

lo g_{x - 2} (3 x^{2} - x - 1) > 0

log_{4}(x^2+2x)>log_{2}(x-4)

lo g_{4} (x^{2} + 2 x) > lo g_{2} (x - 4)

log_{1/4}(2-x)>log_{1/4}(2/((x+1)))

lo g_{\frac{1}{4}} (2 - x) > lo g_{\frac{1}{4}} (\frac{2}{( x + 1 )})

lo g_{3} (x - 2) < 1

Frequently Asked Questions (FAQ)

What is 2-log_{10}(4x)>= 0 ?
The solution to 2-log_{10}(4x)>= 0 is 0<x<= 25