The term “exposure bracketing” means to merge variations of the same image together, which have been under-exposed and over-exposed, to create an image that has been perfectly exposed.
To successfully carry out exposure bracketing, the photographer needs a tripod to keep the exact same image angle throughout, or the final image will become blurred.
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To begin with, the photographer would frame their image how they like and adjust the exposure to a normal level for the setting, usually 1/60. Then they would take the exact same image (hence the need for a tripod) but the exposure would be decreased by half, so 1/30. If the photographer feels that it is necessary they can go a step further and take the same image again with half the exposure, in this case 1/15. Afterwards, the photographer would take another picture with double the exposure, so 1/120, or the nearest equivalent on their camera. Again, if necessary, they can go again with an exposure of 1/240, or the nearest equivalent.
Once the photographer is assured that they have captured all the images they need, they would then merge the 3 (or more) images in Photoshop, or another similar program.
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This technique ensures that the both the foreground and the background are visible to the image and that there is a good tonal range, as both dark and light aspects of the image will have been captured by the photographer.