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19 votes
Can someone please help?

Solve for x, please explain your steps!

49^(x-1)= 7√(7)

Would really appreciate it!

1 Answer

7 votes

Answer:

Explanation:

You need to get the numbers in the same base.

(7^2)^(x - 1) = 7^1 * 7^1/2

7^2(x - 1) = 7^(1 + 1/2)

Now you can equate the powers since the base is the same

2(x + 1) = 1.5 Remove the brackets

2x + 2 = 1.5 Subtract 2 from both sides

2x = 1.5 - 2

2x = -1/2 Divide by 2

2x/2 = -1/2/2

x = - 1/4

This is not an easy question. I hope the steps help you.

User Ephigenia
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