# SOLUTION: which grows faster as x increases, x^3 of 3^x? Explain with examples.

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 600584: which grows faster as x increases, x^3 of 3^x? Explain with examples.Answer by jim_thompson5910(28536)   (Show Source): You can put this solution on YOUR website!3^x grows faster because from x = 4 to x = 5, we get the following x = 4: x^3 = 4^3 = 64 3^x = 3^4 = 81 --------------------- x = 5 x^3 = 5^3 = 125 3^x = 3^5 = 243 So as x goes from 4 to 5, x^3 goes from 64 to 125. At the same time, 3^x goes from 81 to 243. Subtract each result: For x^3: 125 - 64 = 61 For 3^x: 243 - 125 = 118 and you can see that the change from x = 4 to x = 5 is much larger for 3^x This shows us that 3^x grows faster as x increases.