Check this out:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]1 < 2 [/tex]

[tex]\Rightarrow \frac{1}{4} < \frac{1}{2}[/tex]

[tex]\Rightarrow (\frac{1}{2})^2 < \frac{1}{2}[/tex]

[tex]\Rightarrow \log(\frac{1}{2})^2 < \log(\frac{1}{2}) [/tex]

[tex]\Rightarrow 2\cdot\log(\frac{1}{2}) < \log(\frac{1}{2})[/tex]

[tex]\Rightarrow 2 < 1[/tex]

What happened? What did I do wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Inequalities and Logs

**Physics Forums | Science Articles, Homework Help, Discussion**