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Nadusha1986 [10]

4 years ago

11

Solve the following exponential equations. (2x)^x = 8^x

1 answer:

frez [133]4 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

Dividing by 8^x, we have ...

(2x/8)^x = 1

(x/4)^x = 1

x(log(x) -log(4)) = 0 . . . . . taking logarithms

The values of x that make the factors of this product 0 are ...

x = 0 . . . . . extraneous, as 0^0 is indeterminate

log(x) = log(4) ⇒ x = 4

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MatroZZZ [7]

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3 years ago

Determine what values makes this rational expression undefined x+1/x^2+2x-24

Nuetrik [128]

The expression ...

... (x+1)/(x²+2x-24)

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3 years ago

Please I need help with that

Vesna [10]

the correct answer is b

6 0

3 years ago

Pepsi [2]

Answer:

(a)Attached

(b)69 degrees

(b)The ladder is safe

Step-by-step explanation:

(a)See attached diagram

The wall is length |AB| and the ladder is length |AC|

(b)

$sin \theta =\dfrac{|AB|}{|AC|} \\sin \theta =\dfrac{14}{15}\\\theta=arcsin (\dfrac{14}{15})\\\theta=69^\circ$

(c)Jamie wants the angle of the ladder makes with the ground to be no greater than 75 degrees for safety reasons.

Since the angle formed between the ground and the ladder (69 degrees) is less than 75 degrees, the ladder is safe the way it is positioned.

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3 years ago

The height of the equilateral triangle below is 15 units. What is the value of x?

tatyana61 [14]

on edgen, the answer is B) 30sqrt3

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3 years ago

Read 2 more answers