Amy's applesauce uses a ratio of 7 red apples to 3 green apples for their applesauce. The latest batch of applesauce had 156 more red apples than green apples. How many total apples were used for the applesauce?

step-by-step explanation:

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a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

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: