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Popular >

log_{2}(2+3x)<= 4

Solution

lo g_{2} (2 + 3 x) \leq 4

Solution

- \frac{2}{3} < x \leq \frac{14}{3}

+2

Interval Notation

(- \frac{2}{3}, \frac{14}{3}]

Decimal Notation

- 0.66666 \dots < x \leq 4.66666 \dots

Solution steps

lo g_{2} (2 + 3 x) \leq 4

Apply log rules

2 + 3 x \leq 16 and 2 + 3 x > 0

2 + 3 x \leq 16 and 2 + 3 x > 0 : - \frac{2}{3} < x \leq \frac{14}{3}

- \frac{2}{3} < x \leq \frac{14}{3}

Popular Examples

log_{2}(x)+log_{2}(x-1)>log_{2}(x+3)

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

lo g_{3} (x) > - 9

log_{10}(x^2-1)>0

lo g_{10} (x^{2} - 1) > 0

ln (x) \leq x - 1

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

\frac{( lo g _{2} ( x + 1 ) )}{( x - 1 )} > 0

Frequently Asked Questions (FAQ)

What is log_{2}(2+3x)<= 4 ?
The solution to log_{2}(2+3x)<= 4 is -2/3 <x<= 14/3