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25^(z+2) = 125 Find z

2 Answers

13 votes

Answer:

z = 7

Explanation:

Simplifying:

25(z + -2) = 125

Reorder the terms:

25(-2 + z) = 125

(-2 * 25 + z * 25) = 125

(-50 + 25z) = 125

Solving:

-50 + 25z = 125

Move all terms containing z to the left, all other terms to the right.

Add '50' to each side of the equation.

-50 + 50 + 25z = 125 + 50

Combine like terms: -50 + 50 = 0

0 + 25z = 125 + 50

25z = 125 + 50

Combine like terms: 125 + 50 = 175

25z = 175

Divide each side by '25'.

z = 7

User Brent Larsen
by
7.9k points
11 votes

Answer:

z=-1/2

Explanation:

User Adrien BARRAL
by
7.8k points

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