SOLUTION: How do you solve (2x+3)^3/4-3=5

Question 273622: How do you solve (2x+3)^3/4-3=5
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

First let's isolate the base and its exponent by adding 3 to each side:

If we really understand exponents well we'll see a fairly quick solution to this. We want the exponent on the left to disappear. The quickest way to do this is to raise each side to the 4/3 power. (If you don't see why, wait until we're done:

By our rule for raising powers to a power, we multiply the exponents on the left and when we multiply reciprocals like 3/4 and 4/3 we get... 1!

On the right side we can use our calculators if we don't get how easy is to find by hand. So now we have:

This is simple to solve.

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