SOLUTION: 3(5^x+1) = 15 Solve for x.

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Question 92962: 3(5^x+1) = 15
Solve for x.



Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%285%5E%28x%2B1%29%29+=+15

5%5E%28x%2B1%29+=+5 Divide both sides by 3

5%5E%28x%2B1%29+=+5%5E1 Rewrite 5 as 5%5E1

Now that we have the same base, we can set the exponents equal to each other


x%2B1=1 Set the exponents equal to each other


x=1-1 Subtract 1 from both sides




x=0 Combine like terms -1 and 1 on the right side to get 0


So our answer is
x=+0


Check:

3%285%5E%280%2B1%29%29+=+15 Plug in x=+0

3%285%5E1%29+=+15 Add

3%285%29+=+15 Rewrite 5%5E1as 5

15=15 Multiply. Since the equations are equal, our answer is verified.