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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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One day at St. Philip's High School, 1/2 of the pupils walked to school, 1/5 of the pupils came to school by bus, and the remai

Doss [256]

Let P be the number of kids,
we know P>57
take 1-(1/2)-(1/5)=3/10
therefore 57 is 3/10P
3/7P=57
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it would be incorrect if we didnt get a positive integer.

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4 years ago

Simplify and write without negative exponents

Inessa05 [86]

$\bf \left( \cfrac{3x^{\frac{3}{2}}y^3}{x^2y^{-\frac{1}{2}}} \right)^{-2}\implies \left( \cfrac{3y^3y^{\frac{1}{2}}}{x^2x^{-\frac{3}{2}}} \right)^{-2}\implies 
\left( \cfrac{3y^{3+\frac{1}{2}}}{x^{2-\frac{3}{2}}} \right)^{-2}\implies \left( \cfrac{3y^{\frac{7}{2}}}{x^{\frac{1}{2}}} \right)^{-2}
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\left( \cfrac{x^{\frac{1}{2}}}{3y^{\frac{7}{2}}} \right)^{+2}\implies \cfrac{x^{\frac{1}{2}\cdot 2}}{3^2y^{\frac{7}{2}\cdot 2}}\implies \cfrac{x^1}{9y^7}\implies \cfrac{x}{9y^7}$

4 0

3 years ago

What is 1.498 divived by 30. plz show your work.

Irina18 [472]

Answer:

$0.0749$

Step-by-step explanation:

$1.498/30$

To divide the form directly in fraction divide the numerator and denominator by a common number to simplify the values.

Simplifying the value

Removing the decimal in the numerator makes 1000 in denominator

$\frac{1498}{30}*\frac{1}{1000}$

dividing by a common value i.e 2

$\frac{749}{10}*\frac{1}{1000}$

Now, removing the decimals from denominator puts the decimal in the numerator gives $0.0749$

5 0

3 years ago

Read 2 more answers

3x – 2y = 7<br> y = x + 2<br><br> What the answer to this?

kogti [31]

Answer:

{x,y}={−3,−1}

Step-by-step explanation:

5 0

3 years ago

Question 3 of 10

Grace [21]

The cost to rent the space with measures 18 ft x 16 ft for a year is $62,208

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The area of the space = 18 ft * 16 ft = 288 ft²

The cost per month is $18 per ft² per month, hence:

The cost of rent per year = $18 per ft² per month * 288 ft² * 12 month = $62,208

The cost to rent the space with measures 18 ft x 16 ft for a year is $62,208

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

3 years ago

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