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If 6^(2x-2) = 8100, then what is the value of 6^x?
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13 May 2022, 06:32
13 May 2022, 06:32
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Question Stats:
89% (02:08) correct
10% (03:49) wrong based on 19 sessions
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If \(6^{2x-2} = 8100\), then what is the value of \(6^x\)?
(A) 90
(B) 135
(C) 270
(D) 540
(E) 1080
(A) 90
(B) 135
(C) 270
(D) 540
(E) 1080
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If 6^(2x-2) = 8100, then what is the value of 6^x?
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13 May 2022, 07:02
13 May 2022, 07:02
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Carcass wrote:
If \(6^{2x-2} = 8100\), then what is the value of \(6^x\)?
(A) 90
(B) 135
(C) 270
(D) 540
(E) 1080
(A) 90
(B) 135
(C) 270
(D) 540
(E) 1080
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Given: \(6^{2x-2} = 8100\)
Rewrite both sides as follows: \((6^{x-1})^2 = 90^2\)
Take the square root of both sides to get: \(6^{x-1} = 90\)
Multiply both sides of the equation by \(6\) (aka \(6^1\)) to get: \((6^{x-1})(6^1) = (90)(6^1)\)
Simplify: \(6^x = 540\)
Re: If 6^(2x-2) = 8100, then what is the value of 6^x?
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05 Jun 2024, 10:21
05 Jun 2024, 10:21
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