# How do you solve 5^x>=625?

Aug 30, 2017

$x \ge 4$

#### Explanation:

recognising the powers of $5$

${5}^{1} = 5$

${5}^{2} = 25$

${5}^{3} = 125$

${5}^{4} = 625$

so for

${5}^{x} \ge 625$

looking at the list we conclude

$x \ge 4$

note that we require the equal sign