I'm wondering how to solve an inequality like this:(adsbygoogle = window.adsbygoogle || []).push({});

x + 3^x < 4

I can see that it is the sum of the identity function and an exponential function. I can see that it is monotone increasing because each of those is. I therefore know that it crosses y=4 at only one x-value (call it x_1) and I know the solution will be x < x_1.

So I need to solve for x in x + 3^x = 4, how would I do that? I see I could draw the graph and read off the value, which I can see is x_1 = 1, but is there a way to calculate it?

Thank you for any clarification.

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

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!

# Inequality question

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