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Popular >

log_{3}(3x-4)>-2

Solution

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

Solution

x > \frac{37}{27}

+2

Interval Notation

(\frac{37}{27}, \infty)

Decimal Notation

x > 1.37037 \dots

Solution steps

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

Apply log rules

3 x - 4 > \frac{1}{9}

3 x - 4 > \frac{1}{9} : x > \frac{37}{27}

x > \frac{37}{27}

Popular Examples

1 - 4 ln (x) < 17

lo g_{4} (x) < 0

(log_{10}(0.5x))^2+log_{10}(0.5x)-2<= 0

(lo g_{10} (0.5 x))^{2} + lo g_{10} (0.5 x) - 2 \leq 0

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

lo g_{\frac{1}{2}} (x^{2} - 1) \geq lo g_{\frac{1}{2}} (3 x)

3x+1<2*log_{2}(x+4)

3 x + 1 < 2 \cdot lo g_{2} (x + 4)

Frequently Asked Questions (FAQ)

What is log_{3}(3x-4)>-2 ?
The solution to log_{3}(3x-4)>-2 is x> 37/27