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Intern
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Problem [#permalink] New post 19 Mar 2006, 11:27
Value of X?

2^(x+4) = 4*(6^(2x+4)

Any idea how to solve this?[/quote]
Manager
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Re: Problem [#permalink] New post 19 Mar 2006, 12:48
rdangol wrote:
Value of X?

2^(x+4) = 4*(6^(2x+4)

Any idea how to solve this?
[/quote]

In real gmat you would probably use backsolving

for this one:

2^(x+4) / 4 = 6^(2x+4)

2^(x+4) / 2^2 so

2 ^ (x+2) = 6^(2x+4)

2^x * 4 = 6^2x * 6^4

2^x = 36^x * 1296/4

1 / 324 = 36^x / 2^x

1 / 324 = (36 / 2 ) ^ x

1 / 324 = 18 ^ x

and 324 is 18^2

so x = -2
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Re: Problem [#permalink] New post 19 Mar 2006, 14:17
conocieur wrote:
rdangol wrote:
Value of X?

2^(x+4) = 4*(6^(2x+4)

Any idea how to solve this?
In real gmat you would probably use backsolving. for this one:

2^(x+4) / 4 = 6^(2x+4)
2^(x+4) / 2^2 so
2 ^ (x+2) = 6^(2x+4)
2^x * 4 = 6^2x * 6^4
2^x = 36^x * 1296/4
1 / 324 = 36^x / 2^x
1 / 324 = (36 / 2 ) ^ x
1 / 324 = 18 ^ x
and 324 is 18^2
so x = -2


undoubtly wonderful.
Senior Manager
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 [#permalink] New post 20 Mar 2006, 11:29
Hi,

It can be solved much easier:
2^(x+2)=36^(x+2)
2is not equal to 36, thus x+2=0 x=-2
Manager
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 [#permalink] New post 20 Mar 2006, 12:13
Dilshod wrote:
Hi,

It can be solved much easier:
2^(x+2)=36^(x+2)
2is not equal to 36, thus x+2=0 x=-2


yes, I like your approach way better
  [#permalink] 20 Mar 2006, 12:13
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