The table below represents an exponential
function
1
2
3
4
5
222
256
1,024
What is the interval between neighboring
x values shown in the table?
What is the ratio between neighboring yvalues?

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

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