GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If 4 x^2 =8 2x , then which of the following could be the value of x?
[#permalink]
16 Jun 2021, 02:10
16 Jun 2021, 02:10
Expert Reply
1
Bookmarks
00:00
Question Stats:
61% (01:13) correct
38% (03:05) wrong based on 26 sessions
Hide Show timer Statistics
If \(4^{x^2}=8^{2x}\), then which of the following could be the value of x?
Indicate all that apply.
–2
0
2
2.5
3
4
Indicate all that apply.
–2
0
2
2.5
3
4
Re: If 4 x^2 =8 2x , then which of the following could be the value of x?
[#permalink]
16 Jun 2021, 19:22
16 Jun 2021, 19:22
1
\(4x^2=8^{2x}\)
\(4x^2 = 4^{2x} * 2^{2x}\)
\(\frac{4x^2}{4^{2x}} = 2^{2x}\)
\(4^{x^2-2x} = 2^{2x}\)
\(2^{2x^2-4x} = 2^{2x}\)
\(2x^2-4x = 2x\)
\(2x^2-6x = 0\)
\(2x(x-3) = 0\)
\(x = 0\) OR \(3\)
You can also plug in the options.
Answer B E
\(4x^2 = 4^{2x} * 2^{2x}\)
\(\frac{4x^2}{4^{2x}} = 2^{2x}\)
\(4^{x^2-2x} = 2^{2x}\)
\(2^{2x^2-4x} = 2^{2x}\)
\(2x^2-4x = 2x\)
\(2x^2-6x = 0\)
\(2x(x-3) = 0\)
\(x = 0\) OR \(3\)
You can also plug in the options.
Answer B E
Re: If 4 x^2 =8 2x , then which of the following could be the value of x?
[#permalink]
17 Jun 2021, 00:58
17 Jun 2021, 00:58
Expert Reply
rx10 wrote:
\(4x^2=8^{2x}\)
\(4x^2 = 4^{2x} * 2^{2x}\)
\(\frac{4x^2}{4^{2x}} = 2^{2x}\)
\(4^{x^2-2x} = 2^{2x}\)
\(2^{2x^2-4x} = 2^{2x}\)
\(2x^2-4x = 2x\)
\(2x^2-6x = 0\)
\(2x(x-3) = 0\)
\(x = 0\) OR \(3\)
You can also plug in the options.
Answer B E
\(4x^2 = 4^{2x} * 2^{2x}\)
\(\frac{4x^2}{4^{2x}} = 2^{2x}\)
\(4^{x^2-2x} = 2^{2x}\)
\(2^{2x^2-4x} = 2^{2x}\)
\(2x^2-4x = 2x\)
\(2x^2-6x = 0\)
\(2x(x-3) = 0\)
\(x = 0\) OR \(3\)
You can also plug in the options.
Answer B E
Fixed a typo in the stem
