Answered

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Can someone please help?
Solve for x, please explain your steps!
[tex]49^{x-1}= 7\sqrt{7}[/tex]

Would really appreciate it!

Sagot :

jcherry99

Answer:

Step-by-step 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.

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