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3 years ago

Simplify 7 log3 k + 6 log3 m − 9 log3 n

1 answer:

5 0

The answer is log3 k to the seventh power m to the sixth power over n to the ninth power

a * logₓ(y) = logₓ(yᵃ)
7 log₃ (k) = log₃ (k⁷)
6 log₃ (m) = log₃ (m⁶)
9 log₃ (n) = log₃ (n⁹)

7 log₃ (k) + 6 log₃ (m) - 9 log₃ (n) = log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹)

logₓ(y) + logₓ(z) = logₓ(y * z)
log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶) - log₃ (n⁹)

logₓ(y) - logₓ(z) = logₓ(y / z)
log₃ (k⁷ * m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶ / n⁹)

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Obasi earns 150%, percent of his regular hourly wage while working overtime. What fraction of his regular hourly wage does Obasi

hammer [34]

Obasi earns 150% of his regular hourly wage while working overtime.

Let us convert percentage into fraction first:

To convert a percentage into fraction we need to use the following formula:

a% $=\frac{a}{100}$

Here, he earns 150% of his hourly wage while working overtime:

So,

150%= $=\frac{150}{100} =\frac{3}{2} =1.5$

Obasi earns $\frac{3}{2}$ of his hourly earnings or 1.5 times of his hourly earnings while working overtime.

8 0

4 years ago

Read 2 more answers

Need help.................

sergeinik [125]

First set up a proportion
240/160 = 320/200
Cross multiply and if the left equals the right it is similar.

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3 years ago

How do you find the area of a regular polygon?

Bogdan [553]

Each of the triangles are equal in base length, height, and area. Remember the formula for the area of a triangle. The area of any triangle is 1/2 times the length of the base (which, in the polygon, is the length of a side) multiplied by the height (which is the same as the apothem in regular polygon).

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3 years ago

Find the area of a square if its sides measure 2 2/3m

olga55 [171]

Answer:

$7\dfrac{1}{9}\ m^2$

Step-by-step explanation:

If the length of the square side is a units, then the area of the square is

$A=a^2\ un^2.$

In your case, the side length is

$a=2\dfrac{2}{3}\ m,$

then the area is

$A=2\dfrac{2}{3}\cdot 2\dfrac{2}{3}\\ \\ \\A=\dfrac{2\cdot 3+2}{3}\cdot \dfrac{2\cdot 3+2}{3}\\ \\ \\A=\dfrac{8}{3}\cdot \dfrac{8}{3}\\ \\ \\A=\dfrac{64}{9}\\ \\ \\A=7\dfrac{1}{9}\ m^2$

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4 years ago

What number is 100000 more than 702083

Tomtit [17]

Just add them together to get the number. 100,000 + 702,083 = 802,083. 802083 is 100,000 more than 702,083.

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4 years ago