मराठी

Solve the following equation: 2^(3x − 2) = 1 - Mathematics

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प्रश्न

Solve the following equation:

`2^(3x - 2) = 1`

बेरीज
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उत्तर

Given: `2^(3x - 2) = 1`

Step-wise calculation:

1. Recall that any number raised to the power zero is 1, so:

`2^(3x - 2) = 1`

`2^(3x - 2) = 2^0`

2. Since the bases are the same (base 2), the exponents must be equal:

3x – 2 = 0

3. Solve for (x):

3x = 2

`x = 2/3`

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पाठ 6: Indices/Exponents - Exercise 6C [पृष्ठ १३३]

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नूतन Mathematics [English] Class 9 ICSE
पाठ 6 Indices/Exponents
Exercise 6C | Q 1. (i) | पृष्ठ १३३
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