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Popular >

log_{3}(2x-1)<= 2

Solution

lo g_{3} (2 x - 1) \leq 2

Solution

\frac{1}{2} < x \leq 5

+2

Interval Notation

(\frac{1}{2}, 5]

Decimal Notation

0.5 < x \leq 5

Solution steps

lo g_{3} (2 x - 1) \leq 2

Apply log rules

2 x - 1 \leq 9 and 2 x - 1 > 0

2 x - 1 \leq 9 and 2 x - 1 > 0 : \frac{1}{2} < x \leq 5

\frac{1}{2} < x \leq 5

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Frequently Asked Questions (FAQ)

What is log_{3}(2x-1)<= 2 ?
The solution to log_{3}(2x-1)<= 2 is 1/2 <x<= 5