SOLUTION: I will try to write this correctly - 5^x-1 = 125^2x+3 ( the x-1 and 2x+3 should all be in superscript and raised) HELP need to solve thank lucy

Question 92951: I will try to write this correctly -
5^x-1 = 125^2x+3 ( the x-1 and 2x+3 should all be in superscript and raised)
HELP
need to solve
thank
lucy

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Rewrite 125 as

Multiply the exponents

Distribute

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

Add 1 to both sides

Subtract 6x from both sides

Combine like terms and on the left side to get

Combine like terms 1 and 9 on the right side to get 10

Now divide both sides by -5 to isolate and solve for x

Reduce

So our answer is

----------------------------------

Check:

Plug in into the original equation

Multiply

Combine like terms in the exponents

Rewrite as which is just . Rewrite as

Evaluate to get . Since the equations are equal, our answer is verified.
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