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Law Incorporation [45]
2 years ago
6

It is given that 2^x = 5^y = 10^z , express z in terms of x and y​

Mathematics
2 answers:
weqwewe [10]2 years ago
4 0

9514 1404 393

Answer:

  z = (xy)/(x+y)

Step-by-step explanation:

Taking logarithms base 10, we have ...

  x·log(2) = y·log(5) = z·log(10)

  z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

__

Then z/x = log(2), and z/y = log(5), so ...

  z/x +z/y = log(2) +log(5) = log(2·5) = 1

  z = 1/(1/x +1/y) = 1/((x+y)/(xy))

  z = (xy)/(x+y)

aksik [14]2 years ago
4 0

Answer:

Step-by-step explanation:

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NemiM [27]

Answer:

A) $287.60.

B) $323.55.

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Step-by-step explanation:

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Therefore, in this case the sale price would be $ 287.6.

B) Since the store is having a sale, offering a 50% discount off the regular price of the laptop, and David also has an in-store-only coupon for an additional 10% off the sale price, ignoring tax, the price of sale is obtained through the following calculation:

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6 0
3 years ago
How many solutions does the equation 9x +3=9x + 5 have?
Sphinxa [80]

Answer:

none

Step-by-step explanation:

Because X has the same coefficient on both sides but a different value is being added to it, there cannot be an solution.

9x+3=9x+5

-9x -5

-2=0, which doesnt work so theres no solution

8 0
3 years ago
Read 2 more answers
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