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3 years ago

Given that log3(z - 1) - logz z = 1+ 3 log3 y, express z in terms of y.

Mathematics

1 answer:

fgiga [73]3 years ago

6 0

Answer:

z = 1 + 9y³

Step-by-step explanation:

It looks like you have ...

$\log_3{(z-1)}-\log_z{(z)}=1+3\log_3{(y)}\\\\\log_3{(z-1)}-1=1+\log_3{(y^3)}\\\\\log_3{(z-1)}=2+\log_3{(y^3)}\qquad\text{add 1}\\\\z-1=(3^2)(y^3)\qquad\text{take antilog}\\\\\boxed{z=1+9y^3}\qquad\text{add 1}$

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Trava [24]

Answer:

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Step-by-step explanation:

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3 years ago

22. Determine the number of month in 0.25 years

REY [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

$AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units$

$BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units$

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Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

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2 years ago

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KengaRu [80]

Hi.

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Hence,

The correct option is $\boxed{\sf b. -10x+2}$

Thanks.

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3 years ago

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GrogVix [38]

Answer:

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Step-by-step explanation:

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2 years ago

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