Take Logarithm of both sides of an equation

[Bob]

2^5 < x

Suppose I take the logarithms of both sides of the equation above, what will happen to the inequality sign? Will it become an opposite?

2^h ≤ n ≤ 2^h+1

If take the logarithms of both sides, then what will happen to these inequality signs?

[Math Tutor]

The sign of the both sides of the inequilities is the same in those propositions.

The sign changes when we multiply inequalitieson both sides by negative numbers in all other cases it does not change.

Do not hesitate to ask questions!