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nataly862011 [7]
3 years ago
6

Which equation is equivalent to 2^4x = 8^x-3

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer:2^4x = 8^x-3

Step-by-step explanation:Answer is D

VLD [36.1K]3 years ago
5 0

Answer:

<h2>x = -9</h2>

Step-by-step explanation:

8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9

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Topic: Ratios

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3 years ago
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Step-by-step explanation:

Kindly check explanation

Step-by-step explanation:

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3 years ago
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