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ioda
1 year ago
7

Which is the solution to 5^x=8^x-7

Mathematics
1 answer:
Levart [38]1 year ago
3 0

Answer:

C) 30.9702

Step-by-step explanation:

Take log of both sides:

In5^x = In8^x - 7

Rewrite it using the laws of log:

xIn5 = (x - 7)In8

x / (x - 7)  =  ln 8 / ln 5

x / (x - 7) = 1.292

x = 1.292x - 9.044

1.292x - x = 9.044

x = 9.044 / 0.292

Thus, x = 30.9702

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scoray [572]

Answer:

C) 18 cents

Step-by-step explanation:

Given,

This weeks deal -

Quantity of Flour      Price ($)         Price per pound ($)

3 pounds                    5.25                 (5.25/3) =  1.75

5 pounds                    9.75                 (9.75/3) =   1.95

7 pounds                    12.60                (12.60/3) = 1.80

10 pounds                  14.20                 (14.20/3) = 1.42

12 pounds                  18.24                 (18.24/3) = 1.52

The lowest price per pound is $1.42. Therefore, this is the current week's best deal.

The last week's best deal was = $`1.60/pound

The difference between the unit price for previous week's best deal and this week's best deal = $1.60 - $1.42 = $0.18

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