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Viefleur [7K]
3 years ago
8

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

e Example 9.
log3 1/2
Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

-0.6309

Step-by-step explanation:

Using the change of base formula,

Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3

Log 0.5 = -0.3010

Log3 = 0.4771

Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309

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3 years ago
Find the point(s) of intersection between the quadratic function y = x + 4x + 4 and the linear function y = 2x+4.​
Andrews [41]

Answer:

(0, 4)

Step-by-step explanation:

To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.

First, let's simplify y = x + 4x + 4 by combining the x's.

y = 5x + 4

Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.

5x + 4 = 2x + 4

Now you want to combine the terms.

[subtract 4] 5x = 2x

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Now you want to isolate the x.

[divide by 3] x = 0

Now we want to find y by plugging x = 0 back into the equations.

y = 5(0) + 4

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Check this with the other equation.

y = 2(0) + 4

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Your answer is correct!

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