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Lapatulllka [165]
3 years ago
5

For what value of x does 64^3x = 512^2x+12

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

<h2>no solution</h2>

Step-by-step explanation:

Use:\\\\(a^n)^m=a^{nm}\\--------------\\64=2^6\\512=2^9\\\\\text{therefore}\\\\64^{3x}=512^{2x+12}\\\\(2^6)^{3x}=(2^9)^{2x+12}\\\\2^{(6)(3x)}=2^{(9)(2x+12)}\iff6(3x)=9(2x+12)\\\\18x=9(2x+12)\qquad\text{divide both sides by 9}\\\\\dfrac{18x}{9}=\dfrac{9(2x+12)}{9}\\\\2x=2x+12\qquad\text{subtract 2x from both sides}\\2x-2x=2x-2x+12\\\\0=12\qquad\bold{FALSE}

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Please please please please please please please help
Ilia_Sergeevich [38]

Answer:

a. 90 pack

b. $0.27

c. $0.18

d. $0.21

e. 60 pack

Step-by-step explanation:

a. i think  the 90 pack container should be having least unit rate per pack,as purchasing in bulk amount the cost of a unit should be reduced to some amount which is must to lure the customer to purchase in bulk amounts.

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c. for 60 pack, unit rate = 10.97÷60 =$0.18

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5 0
3 years ago
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