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by **nadeem** on Wed May 27, 2009 4:19 am

Calculat the equation and find the value of x in the equation :?:

2^2009 - 2^2008 = 2^x

show all steps.

Thanks

Nadeem

**Sponsor**

by **stapel_eliz** on Wed May 27, 2009 11:01 am

What have you tried? Where are you stuck?

You applied basic exponent rules to restate 2²⁰⁰⁹ as 2^{2008 + 1} = 2²⁰⁰⁸2¹ = 2×2²⁰⁰⁸, factored, simplified, and... then what?

Please be complete. Thank you!

by **mathpedia** on Thu May 28, 2009 12:23 pm

The Purplemath Forums

Solve 2^2009 - 2^2008 = 2^x for the value of x

Solve 2^2009 - 2^2008 = 2^x for the value of x

Re: Solve 2^2009 - 2^2008 = 2^x for the value of x