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djyliett [7]
4 years ago
6

What is the true solution to the logarithmic equation below? log4[log4(2x)]=1

Mathematics
1 answer:
Murrr4er [49]4 years ago
6 0
To solve this problem, you have:
 1. You have the following logarithmic expression <span>log4[log4(2x)]=1, therefore:
 </span>log4[log4(2x)]=1
 4^log4[log4(2x)]=4^1
 2. By definition, a^log(x)=x, then:
 log4(2x)=4
 4^log4(2x)=4^4
 2x=4^4
 x=256/2
 x=128
 Therefore, the answer is the option d: <span>d. x=128</span>
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determine the perimeter and area of the Shaded portion of the figure below given the Circle diameter of 7 centimetre and the per
marshall27 [118]

Answer:

perimeter = 43.98cm

area = 76.96cm^2

Step-by-step explanation:

You take into account that the shaded regions are perfect circles, then, the total perimeter of the shaded regions are given by the circumference of both circles.

You calculate the circumferences, by using the following formula:

C=2\pi r      (1)

r: radio of the circles = (7/2)cm = 3.5cm

The total perimeter is twice the value of C in the expression (1). You replace r in (1), and calculate the total perimeter:

C=2\pi (3.5cm)=21.99cm\\\\C_T=2C=2(21.99cm)=43.98cm

The perimeter of the shaded region is 43.98cm.

The area of the shaded region is twice the area of one of the circle, which is given by:

A=\pi r2=\pi (3.5cm)^2=38.48cm^2\\\\A_T=2A=2(38.48cm^2)=76.96cm^2

The total area of the shaded region is 76.96cm^2

6 0
4 years ago
1 divided by 0.80. Please show work.
lozanna [386]

divide 1 by 0.8=1.25

4 0
3 years ago
Read 2 more answers
What’s the y-intercept? Why?
ella [17]

Answer:

2

Step-by-step explanation:

Because it goes into the positives and then comes out to be 2

8 0
3 years ago
Read 2 more answers
BRAINLIEST for whoever gets this correct! Factor the expression below.
Rama09 [41]

Answer:

D. (x - 8) (x - 8)

Step-by-step explanation:

-16x must be split into two terms that can be added to get -16, and multiplied to get 64. The only two terms that can satisfy this, is -8.

(x - 8) (x - 8)

If you're unsure about whether it's correct, you can multiply the two together to see if you get your original expression, x^2-16x +64, as your answer.

7 0
3 years ago
Is this correct?
ioda
Um
first note that x=-7 is not allowed in the soltions set
multiply both sides by x+7
make a sign chart and input values and see what they are

ok so we know we have zeroes at x=-9 and x=11
and x=-7 is not allowed so

see attachment


at x=-10,, we get a negative sign so it is less than 0
at x=-8, we get a positive sing, so it is more than 0
at x=-3, we get a negative sign, so less than 0
at x=20, we get a positive sign,so greater

so then

we do from negative inity to -9
and not between -9 and -7
between -7 and 11
so then

(-infinity,-9)U(-7,11]

6 0
3 years ago
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