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3 years ago

What is the true solution to the logarithmic equation?log2 [log2(sqrt4x)]=1

Mathematics

2 answers:

erastova [34]3 years ago

8 0

Answer:4

Step-by-step explanation:

log₂[log₂(√4x)] = 1

log₂2 =1

So we replace our 1 with log₂2

log₂[log₂(√4x)] = log₂2

log₂ on bothside will cancel each other.

We will be left with;

[log₂(√4x)] = 2

log = power of exponential

√4x = 2²

√4x = 4

Square bothside

(√4x)² = 4²

4X = 16

Divide bothside by 4

4x/4 = 16/4

x = 4

Deffense [45]3 years ago

6 0

Answer:

x=4

Step-by-step explanation:

You might be interested in

Algebraically, find all remaining zeros of f(x) = 8x^3 - 6x^2-36x +27 in simplest form.

viva [34]

Answer:

$x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

Given expression is,

f(x) = 8x³ - 6x² - 36x + 27

For zeros of the function,

f(x) = 0

8x³ - 6x² - 36x + 27 = 0

2x²(4x - 3) - 9(4x - 3) = 0

(2x² - 9)(4x - 3) = 0

(2x² - 9) = 0

x² = $\frac{9}{2}$

x = $\pm\frac{3}{\sqrt{2}}$

x = $\pm \frac{3\sqrt{2}}{2}$

Or (4x - 3) = 0

x = $\frac{3}{4}$

Therefore, all zeros of the given functions are $x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}$ .

7 0

3 years ago

A floor plan of 's cheryl´s bedroom and closet is shown. The height of the bedroom is 7 feet. The height of the closet is 6 fee

mylen [45]

Answer:

The total volume of the bedroom and closet is 42 feet or sq2

No, it doesn't make sense to find the bedroom floor and closet floor area combined because this is abt the height and volume, not the flooring plan (area)

Step-by-step explanation:

You multiple 7*6 to get the 42 answer

3 0

3 years ago

Can someone plz help me with this problem I’m very frustrated

Artyom0805 [142]

In a circle, the degree measure of an arc is the same as the measure of the central angle that intercepts it.

A full circle is 360 degrees.

Add all the measures and set equal to 360 degrees.

One angle measure is not given, but that angle has a mark and another angle has the same mark, so the angle whose measure is not give also measures -9x - 3.

-9x - 3 + x + 107 + (-6x + 8) + (-9x - 3) + (-13x - 1) = 360

-9x - 3 + x + 107 - 6x + 8 - 9x - 3 - 13x - 1 = 360

-36x + 108 = 360

-36x = 252

x = 252/(-36)

x = -7

4 0

3 years ago

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent.Find the single reduction the

Evgen [1.6K]

Answer:

40% . The single reduction together is 40%.

Step-by-step explanation:

Let the bicycle cost is x before reduced price.

First 25% is reduced and again 20% further reduced.

Let the single reduction is y% if the two reduction together are equal.

Solution,

Case .1