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If 16^x=8, what is the value of x?
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20 Sep 2023, 01:21
20 Sep 2023, 01:21
Expert Reply
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Question Stats:
99% (00:56) correct
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If \(16^x=8\), what is the value of x?
Show: ::
0.75
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: If 16^x=8, what is the value of x?
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25 Sep 2023, 00:15
25 Sep 2023, 00:15
2
16 = 2^4
16^x = 2^(4x)
8 = 2^3
It is given that,
16^x = 8
Hence,
2^3 = 2^(4x)
Therefore,
4x = 3
x = 3/4
x = 0.75
16^x = 2^(4x)
8 = 2^3
It is given that,
16^x = 8
Hence,
2^3 = 2^(4x)
Therefore,
4x = 3
x = 3/4
x = 0.75
Re: If 16^x=8, what is the value of x?
[#permalink]
19 Dec 2023, 13:28
19 Dec 2023, 13:28
1
Create equivalent expressions in the equation that all have equal bases.
2⁴˟ = 2³
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
4x = 3
Divide each term in
4x = 3 by 4 and simplify.
Divide each term in 4x = 3 by 4
4x / 4 = 3 / 4
Simplify the left side.
Cancel the common factor of 4.
Cancel the common factor.
4̷ x / ̷4̷ = 3 / 4
Divide x by 1.
x = 3 / 4
The result can be shown in multiple forms.
Exact Form:
x = 3 / 4
Decimal Form:
x = 0.75
2⁴˟ = 2³
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
4x = 3
Divide each term in
4x = 3 by 4 and simplify.
Divide each term in 4x = 3 by 4
4x / 4 = 3 / 4
Simplify the left side.
Cancel the common factor of 4.
Cancel the common factor.
4̷ x / ̷4̷ = 3 / 4
Divide x by 1.
x = 3 / 4
The result can be shown in multiple forms.
Exact Form:
x = 3 / 4
Decimal Form:
x = 0.75
