If f(x) = 8^x, show that (f(x+h) - f(x))/h = 8^x((8^h-1)/h) I am not sure of the properties at play here. I have the answer. If someone would refer some khan academy videos for further explanation that would be appreciated.

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Just laws of exponents: \[(f(x+h)-f(x))/h=(8^{x+h}-8^x)/h=(8^x 8^h-8^x)/h=8^x(8^h-1)/h\]

As i don't know the names of those laws I can't look up videos on them. Will you give me the names?

I always refer to them as the "laws of exponents" ... you can search for this quoted phrase on the web or YouTube.

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