3 years ago

-8(x+-7)=80 x=? yeshsfhdthgff

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer:

8 0

Step-by-step explanation:

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

$\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA$

Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

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3 years ago

The heaviest dinosaur is estimated to have welghed 2.8 x 10^5 pounds. The average car weighs about 4 x 10^3 pounds.

34kurt

Answer:

Step-by-step explanation:

Apparently, you want the ratio of the weights:

(dino weight)/(car weight) = (2.8×10^5)/(4×10^3)

= (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100

= 70

The heaviest dinosaur weighed about 70 times the weight of an average car.

_____

Your calculator can do arithmetic in scientific notation. So can any spreadsheet.

The applicable rule of exponents is ...

(10^a)/(10^b) = 10^(a-b)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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