Algebra

Exponential Inequalities

Exponential Inequalities Warmup

         

Which of these numbers is larger?

A=2858 , B=2757 \large A = \frac{2^8}{5^8} \hspace{0.3cm} \text{ , } \hspace{0.3cm} B = \frac{2^{7}}{5^{7}}

What values of xx satisfy 3x+2<310?\large 3^{x+ 2} < 3^{10}?

What values of xx satisfy 3x+5311>1?\large \frac{3^{x+ 5}}{3^{11}} > 1?

What values of xx satisfy (13)x<3x+5?\large \left(\frac{1}{3}\right)^x < 3^{x+5}?

True or False?

There is a real number xx such that x<x3<x4<x2.\large x < x^3 < x^4 < x^2.

×

Problem Loading...

Note Loading...

Set Loading...