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2 years ago

If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log 1/2 x

Mathematics

1 answer:

kicyunya [14]2 years ago

6 0

The solution to the given expression is x = -20/11

<h3>
What are logarithmic functions?</h3>

Logarithmic function are inverse of exponential functions. Given the equation below;

log (6 x + 10) = log 1/2 x

In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have

6x + 10 = 1/2x

Collect the like terms

6x - 1/2x = 0 - 10

Find the LCD

12x-x/2 = -10
11x/2 = -10

Cross multiply

11x = -2 * 10

11x = -20

Divide both sides by 11

11x/11 = -20/11

x = -20/11

Hence the solution to the given expression is x = -20/11

Learn more on log functions and graph here: brainly.com/question/2086094

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4 years ago

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Can I get some help on this please

SVEN [57.7K]

6a. y=-8(x-10)²
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3 years ago

a parking meter has 32 coins in nickels and quarters. the coins are worth $3.20. how many quarters and how many nickels are in t

BigorU [14]

Answer:

n = 24

q = 8

Step-by-step explanation:

Let:

n = nickels

q = quarters

5n + 25q = 320

n + q = 32

n = 32 - q

Substitute (to solve for q):

5(32 - q) + 25q = 320

160 - 5q + 25q = 320

160 + 20q = 320

20q = 320 - 160

20q = 160

q = 160 ÷ 20

q = 8

Substitute (to solve for n):

n = 32 - q

n = 32 - (8)

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8 0

3 years ago

A cylindrical diesel fuel holding tank has a radius of 6 feet and a length of 12 feet. What is the maximum volume of fuel the ta

Delicious77 [7]

Answer: 1356 cubic feet

Step-by-step explanation:

The volume of cylinder is given by :_

$Volume = \pi r^2l$ , where r is the radius and l is the length of the cylinder.

Given : A cylindrical diesel fuel holding tank has a radius of r= 6 feet and a length of l=12 feet.

Therefore,

$Volume=\pi (6)^2(12)\\\Rightarrow\ Volume=3.14\times(36)(12)=1356.48\approx1356$

Hence, the volume of cylindrical diesel fuel holding tank =1356 cubic feet

Therefore, the maximum volume of fuel the tank can hold 1356 cubic feet.

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3 years ago

A market has a demand function given by the equation Qd= 180-2P, and a supply function given by the equation Qs = -15+P. The mar

Jlenok [28]

Answer:

Step-by-step explanation:

Qd=180-2P

Qd=180-2(72)

Qd=180-144

Qd=36

8 0

3 years ago