SOLUTION: i do not know how to solve equations where there is a negative exponent. im sorry, i didnt know how to make the x negative to show it to you, but it's supposed to be {{{(2^x)+1=6}

Question 176028: i do not know how to solve equations where there is a negative exponent. im sorry, i didnt know how to make the x negative to show it to you, but it's supposed to be

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
So the equation is ???

Start with the given equation.

Subtract 1 from both sides.

Combine like terms.

Flip the base of to get

Multiply both sides by .

Divide both sides by 5.

Take the log of both sides.

Pull down the exponent using the identity

Divide both sides by .

Use the change of base formula to simplify the left side.

========================================

Answer:

So the solution is

Note: some books may simplify to get . So the answer (for some books) may be

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