Solve the exponential equation 3^4x-1=3^31

Hello from MrBillDoesMath!

 x = 8

Discussion:

I interpret the question as follows:

3^(4x-1) = 3^31             find x.

Since the above bases are both 3, we need to equate their exponents and solve.:

4x-1 = 31                      -- subtract 1 from each side.

4x = 32 =>

x = 8

Thank you,

MrB

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.