Originally Posted by

**dwsmith** Greetings,

This should be a relatively easy question, but, unfortunately, I am struggling with solving it. I understand the forum is used to purely for guiding someone. However, I have the GRE Math Subject test in 13hrs and need to see how this problem is worked out if someone wouldn't mind.

The question is:

For what value of b is the line $\displaystyle \displaystyle y=10x$ tangent to the curve $\displaystyle \displaystyle y=e^{bx}$ at some point in the xy-plane?

Thanks again.