Having a problem: sqrt[2^{x-78}] - 5 * sqrt[2^{x-84}] = 96

[Goldennn]

Hey i tried doing this problem but keep failing and i don't get a right answer, the problem solving programs dont help either, thanks.

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\(\displaystyle \sqrt{\strut 2^{x-78}\,}\, -\, 5\, \times\, \sqrt{\strut 2^{x-84}\,}\, =\, 96\)

 

[Deleted member 4993]

Hey i tried doing this problem but keep failing and i don't get a right answer, the problem solving programs dont help either, thanks.

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\(\displaystyle \sqrt{\strut 2^{x-78}\,}\, -\, 5\, \times\, \sqrt{\strut 2^{x-84}\,}\, =\, 96\)

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

 

[mmm4444bot]

Beginning with algebra, please do not use the letter x as a multiplication sign. Use parentheses or a centered dot, instead. If you were given the equation that way, well, shame on them. :cool:

How did you proceed, when you tried to solve this equation? What was your strategy.

My first thought is to use a property of exponents, to rewrite 2^(x-84) in terms of 2^(x-78). This way, I could avoid having to square both sides of the given equation twice (which could get messy).

 

[JeffM]

My first thought is to use a property of exponents, to rewrite 2^(x-84) in terms of 2^(x-78). This way, I could avoid having to square both sides of the given equation twice (which could get messy).

Elegant.