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3 years ago

What is the following logarithmic equation in exponential form: log2(x^4 -3) = 4

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

$2^{4}$ = $x^{4}$ - 3

Step-by-step explanation:

recall for a logrithimic expression,

$log_{b}$ (c)=a, can be expressed as $b^{a} = c$

hence for our question

$log_{2}$ [ (x^4) -3] = 4

can be expressed as

$2^{4}$ = $x^{4}$ - 3

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Please help ! Which net represents the figure?

SCORPION-xisa [38]

Answer:

It is c

Step-by-step explanation:

When you fold it up, it makes a box just like the solid figure.

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7 0

2 years ago

The sum of two number is 6. Twice the first number added to three times the second number is 10. Write a system of equations and

seropon [69]

Answer:

4 and 2 are the required numbers which satisfies the given equations

Step-by-step explanation:

Let the two numbers be x and y

According to the first condition

their is is 6

which is

x + y =6 ........................(i)

Now according to second condition

twice the first number i.e. 2x added to three time the second number i.e. 3y is 10

in form of equation it could be written as

2x + 3y = 10 ........................(ii)

Now from first equation we have

x + y =6

subtracting y from both sides

x = 6 - y .....................(iii)

Now putting this value of x in equation (ii)

equation (ii) is

2x + 3y = 10

Putting the value gives

2(6-y)+3y = 10

opening the brackets

12 - 2y + 3y = 10

12 - y = 10

subtracting 12 from both sides

12 - y -12 = 10 -12

it becomes

- y = -2

multiplying both sides by (-1)

it becomes

(-1)(-y) = (-2) * (-1)

y = 2

Now we got the value of y put it in equation iii which is

x = 6 -y

putting the value

x = 6 - 2

x = 4

So the two numbers are x = 4 and y = 2

3 0

3 years ago

Any help with this would be greatly appreciated

lesya692 [45]

Answer:

Step-by-step explanation:

using similar triangles

Let x be the boy's height

$\frac{x}{27}$ = $\frac{72}{43.2}$

cross multiply to get 43.2x=1944

then divide by 43.2 both sides

to get x=45

3 0

3 years ago

I NEED HELP PLEASE;(

AlekseyPX

Answer:

3/4ths im pretty sure

Step-by-step explanation:

2 1/8 ------- 1 9/8

- 1 3/8------- - 1 3/8

_______ ______

6/8= 3/4

8 0

4 years ago

stephen and bridget win some money and share it in the ratio 5:2. stephen gets £65. how much does bridget get

katen-ka-za [31]

Answer:

Bridget will get the amount as £26.

Step-by-step explanation:

Given:

Amount Stephen gets = £65

Amount shared in ratio = 5:2

We need to find the amount Bridget gets.

Solution:

Let the common factor in the ratio be $'x'$ .

Amount Stephen gets = $5x$

Amount Bridget gets = $2x$

But we know that;

Amount Stephen gets = £65

so we can say that;

$5x=65$

Now dividing both side by 5 we get;

$\frac{5x}{5}=\frac{65}{5}\\\\x=13$

So now we get;

Amount Bridget gets = $2x=2\times 13 = \£26$

Hence Bridget will get the amount as £26.

3 0

3 years ago