I don't know of any camera anywhere that can expose accurately when shooting in the forest. Usually they come out overexposed and have horrible color - nothing at all like the way you saw it. The good news is you can solve the problem in two easy steps.
Here's a picture (below) taken with the camera set to "AUTO" (you can click on any picture to view a larger version):
Compared to how it looked to my eye, it's overexposed and the colors are all wrong. The good news is it can be fixed using only two camera adjustments:
1) Use the exposure compensation feature to underexpose by about -0.7 stops, resulting in the picture below:
Now it looks darker, like it looks in person. Next, set the white balance to DAYLIGHT:
There! That's how it looked to my eye. The greens look greener. (Actually, what happened is the camera added more yellow.)
How to improve the shot? Put a human subject next to the giant tree roots so you can see just how giant this fallen redwood is. (See the top picture.)
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