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2 years ago

Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y

1 answer:

4 0

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)

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Sarah Goes To Dinner With 2 Of Her Friends. The Total Cost Of Dinner Is $61.92 Her Friends Pay 2/3 of the total cost. Exactly Ho

IceJOKER [234]

Answer:

$20.64

Step-by-step explanation:

if you cut 61.92 in to thirds

61.92/ 3= 20.64

so if Sarah's friends payed 2/3 of the bill Sarah herself payed 1/3 which is $20.64

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2 years ago

Find the missing term in the pattern.

Whitepunk [10]

Answer:

Step-by-step explanation:

6 + 2 = 8

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2 years ago

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The electric heaters, in a 240 volt electric furnace, draw 40 amps of current. What is the total KW rating of the heaters?

expeople1 [14]

9514 1404 393

Answer:

9.6 kW

Step-by-step explanation:

The product of volts and amps is watts. Here, that product is ...

(240 V)(40 A) = 9600 W

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3 0

2 years ago

This subject is on integers

antoniya [11.8K]

Answer:

|-8| = 8

Step-by-step explanation:

legit just the opposite of the integer.

8 0

3 years ago

Solve the equation using the quadratic formula : x^2-10x+25=18

Sever21 [200]

$x^2-10x+25=18 \\ \\x^2-10x+25-18 = 0\\ \\ x^2-10x+ 7 =0 \\ \\a=1 , b = -10 , c= 7 \\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4*1*7=100-28 = 72 \\ \\\sqrt{\Delta }=\sqrt{72}= \sqrt{2*36} =\sqrt{36}*\sqrt{2} =6\sqrt{2}$

$x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- 6\sqrt{2}}{2}=\frac{2(5-3\sqrt{2})}{2}= 5-3\sqrt{2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ 6\sqrt{2}}{2}=\frac{2(5+3\sqrt{2})}{2}= 5+3\sqrt{2}$

$Answer : \ x= 5-3\sqrt{2} \ \ or \ \ x = 5+3\sqrt{2}$

8 0

3 years ago