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Popular >

(1/5)^{2x^2-3x}>= 5

Solution

(\frac{1}{5})^{2 x^{2} - 3 x} \geq 5

Solution

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

+2

Interval Notation

[\frac{1}{2}, 1]

Decimal Notation

0.5 \leq x \leq 1

Solution steps

(\frac{1}{5})^{2 x^{2} - 3 x} \geq 5

Apply exponent rules

2 x^{2} - 3 x \leq - 1

2 x^{2} - 3 x \leq - 1 : \frac{1}{2} \leq x \leq 1

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

Popular Examples

(2^{x})^{2} \leq 1 5^{x}

1/(2^x-1)> 1/(1-2^{x-1)}

\frac{1}{2 ^{x} - 1} > \frac{1}{1 - 2 ^{x - 1}}

((3/7)^x)^2<(7/3)^4x-2

((\frac{3}{7})^{x})^{2} < (\frac{7}{3})^{4} x - 2

(2/5)^{((1-5x))/((4+16))}< 25/4

(\frac{2}{5})^{\frac{( 1 - 5 x )}{( 4 + 16 )}} < \frac{25}{4}

4^{x-1}+2^{x+1}>= 2^5

4^{x - 1} + 2^{x + 1} \geq 2^{5}

Frequently Asked Questions (FAQ)

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