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Popular >

log_{3}(2x+5)<2

Solution

lo g_{3} (2 x + 5) < 2

Solution

- \frac{5}{2} < x < 2

+2

Interval Notation

(- \frac{5}{2}, 2)

Decimal Notation

- 2.5 < x < 2

Solution steps

lo g_{3} (2 x + 5) < 2

Apply log rules

2 x + 5 < 9 and 2 x + 5 > 0

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

- \frac{5}{2} < x < 2

Popular Examples

(3^{x^2-1}-27^{x+1})(log_{3}(x+8)-2)<= 0

(3^{x^{2} - 1} - 2 7^{x + 1}) (lo g_{3} (x + 8) - 2) \leq 0

lo g_{3} (x^{2}) > 2

ln (x) < 1

log_{10}(x)(((2x+2/5))/((5(1-x))))>0

lo g_{10} (x) (\frac{( 2 x + \frac{2}{5} )}{( 5 ( 1 - x ) )}) > 0

log_{4}(x^2-3x+2)>log_{4}(x^2-5x+4)

lo g_{4} (x^{2} - 3 x + 2) > lo g_{4} (x^{2} - 5 x + 4)

Frequently Asked Questions (FAQ)

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