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Solve for X: 3 X 7x = 7 X 3x - Mathematics

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Question

Solve for x:
3 x 7x = 7 x 3x

Sum

Solution

3 x 7x = 7 x 3x
⇒ `(7^x)/(7) = (3^x)/(3)`

⇒ `7^(x - 1) = 3^(x - 1)`    ......(Using am ÷ an = am-n)
⇒ 7x - 1 = 3x - 1 x 1
⇒ 7x - 1 = 3x - 1 x 70    ......(Using a0 = 1)
⇒ x - 1 = 0
⇒ x = 1.

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Solving Exponential Equations
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Chapter 9: Indices - Exercise 9.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 9 Indices
Exercise 9.1 | Q 9.02
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