MATH SOLVE

8 months ago

Q:
# Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?

Accepted Solution

A:

Comment

I'm going to take a guess at this and say what you meant is 2401 = 7^(6 - 2x)

Step One

Find out the power of 7 that will equal 2401.

You could do it like this.

7^y = 2401 and just guess at some values.

y 7^y

1 7

2 49

3 7 * 7 * 7 = 343

4 7 * 7 * 7 * 7 = 2401 So the answer is 4

7^4 = 2401

Step 2

Equate the powers.

2401 = 7^(6 - 2x)

7^4 = 7^ (6 - 2x)

4 = 6 - 2x Subtract 6 from both sides.

4 - 6 = - 2x

-2 = - 2x divide by - 2

-2/-2 = x

x = 1 <<<<<<<<<<<<<answer

I'm going to take a guess at this and say what you meant is 2401 = 7^(6 - 2x)

Step One

Find out the power of 7 that will equal 2401.

You could do it like this.

7^y = 2401 and just guess at some values.

y 7^y

1 7

2 49

3 7 * 7 * 7 = 343

4 7 * 7 * 7 * 7 = 2401 So the answer is 4

7^4 = 2401

Step 2

Equate the powers.

2401 = 7^(6 - 2x)

7^4 = 7^ (6 - 2x)

4 = 6 - 2x Subtract 6 from both sides.

4 - 6 = - 2x

-2 = - 2x divide by - 2

-2/-2 = x

x = 1 <<<<<<<<<<<<<answer