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3 years ago

Fill in the steps to solve the log log base x of (2x)^3=6

Mathematics

1 answer:

arsen [322]3 years ago

6 0

Answer:

x=2

Step-by-step explanation:

logx (2x)^3 = 6

We can rewrite without the exponent

3 logx (2x) = 6

Divide by 3

3/3 logx (2x) = 6/3

logx (2x) = 2

Raise each side to the base x

x^ logx (2x) =x^ 2

2x = x^2

Subtract 2x from each side

2x-2x = x^2 -2x

0 = x^2 -2x

Factor an x

0 = x(x-2)

Using the zero product property

x =0 x-2 =0

x =0 x=2

We cannot have a base of 0, so x cannot equal 0

x=2

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3 years ago

Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an

alisha [4.7K]

Answer:

$\sin \theta=-\frac{4}{5}$

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = $\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

Now, using the sine ratio for the angle, we have

$\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}$

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3 years ago

10 time as much as25

Paha777 [63]

Answer:

250

Step-by-step explanation:

10 times as much as 25 equals:

10 * 25 = ?

10 * 25 = 250

You just have to look for keywords and turn it into a [math] problem.

I hope this helps!

<h2>PLEASE MARK BRAINLIEST!</h2>

6 0

3 years ago

5x+2y=-3;x+5y=4 plz answer me

Alex17521 [72]

Answer:

x = -1 and y = 1

Step-by-step explanation:

5x + 2y = -3 . . . . . . . (i)

x + 5y = 4 . . . . . . . (ii)

Finding x in terms of y from eq. (ii) :-

x + 5y = 4

x = 4 - 5y

Placing this value of x in eq. (i) :-

5(4 - 5y) + 2y = -3

20 - 25y + 2y = -3

-23y = - 23

y = 1

Placing the value of y in eq. (i)

5x + 2(1) = -3

5x + 2 = -3

5x = - 5

x = -1

7 0

3 years ago

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Fill in the steps to solve the log log base x of (2x)^3=6​

Fill in the steps to solve the log log base x of (2x)^3=6