A. If 3^x = 72, find the value of 3^(x-2) B. If 4^(x+2) = 48, find the value of 4^x

2 Answers

steveschoen's profile pic

steveschoen | College Teacher | (Level 1) Associate Educator

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A) For the first part, we can divide each side by 3^2, or 9.  This would give us 3^(x-2), the second part.  So, 3^(x-2) = 72/9 = 8

B) Similarly, for the first part, we can divide each side by 4^2, or 16, giving us the second part.  So, 4^x = 48/16 = 3

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sulagna01's profile pic

sulagna01 | eNotes Newbie

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Part - A

If 3^x = 72,

Dividing both sides by 3^2 = 9 will give us the equation

3^(x - 2) = 72 /9 

Or, 3^(x - 2) = 8

PART - B

If 4^(x+2) = 48,

Dividing both sides by 4^2 = 16 will give us the equation

4^x = 48 / 16 = 3