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3 years ago

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

Assuming that b>0 and c>0:

log(a)=3×log(b)-2×log(c)=

log(b³)-log(c²)=

log(b³/c²)

Hence a=b³/c²

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What is 0.416666667 as a fraction

pogonyaev

It's 416,666,667/1,000,000,000. //// If you said that the 6s keep going and never end, then it would be the decimal form of 5/12 .

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4 years ago

Which binomial is a factor of 49x2 + 84 xy + 36y2?

bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

Step-by-step explanation:

Given expression is $49x^2+84xy+36y^2$

To find the binomial factor :

$49x^2+84xy+36y^2$

Rewritting the above expression as

$=7^2x^2+2(7)(6)xy+6^2y^2$

$=(7x)^2+2(7x)(6y)+(6y)^2$

$=(7x+6y)^2$ ( using the formula $=(a+b)^2=a^2+2ab+b^2$ here a=7x and y=6y )

$=(7x+6y)(7x+6y)$ ( using the formula $=(a+b)^2=(a+b)(a+b)$ )

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

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3 years ago

What is the decimal expansion of 7/2

valentina_108 [34]

Answer:

0.583

Step-by-step explanation:

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3 years ago

Read 2 more answers

Given that y is directly proportional to x^2 and that y=2 when x=3 find the value of y when x=6

Sergio039 [100]

Answer:y=4/3

y is directly proportional to x^2 is written as

$y \alpha {x}^{2}$ introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

$2 = {3}^{2} \times k$

2=9k . dividing through by 9 to get the value of k

 $\frac{2}{9} = \frac{9k}{9}$ 

 $k = \frac{2}{9}$ 

putting it in the general expression

 $y = \frac{2}{9} x$ 

the value of y when x=6

 $y = \frac{2}{9} \times 6$ 

 $y = \frac{4}{3}$ 

therefore the value of y when x=6 is

4/3

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3 years ago

In the following equation, a and b are both integers. a(3x-8)=b -18x

zaharov [31]

The value of a is -6
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3 years ago

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If log a=3 log b-2 log c, find an expression for a that does not involve logarithms​

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms