Find the value of x if nbsp- 2-x-3 - 1- nbsp-3210

The correct option is A 3Given, 2^x 3 = 1 We know, for any non zero integer 'a', a^0 = 1. ⇒ 2^x 3 = 2^0 Since the powers of 2 in the LHS and RHS are equal and ...

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Standard VIII

Mathematics

Zero as an Exponent

Find the valu...

Question

Find the value of x if $2^{x - 3} = 1$ .

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Solution

The correct option is A 3
Given, $2^{x - 3} = 1$
We know, for any non-zero integer 'a', $a^{0} = 1$ .
$\Rightarrow 2^{x - 3} = 2^{0}$
Since the powers of 2 in the LHS and RHS are equal and the bases are the same, the exponents must be equal.
$\Rightarrow x - 3 = 0 \Rightarrow x = 3$

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Find the value of x if 2x−3=1.

The correct option is A 3Given, 2x−3=1 We know, for any non-zero integer 'a', a0=1. ⇒2x−3=20 Since the powers of 2 in the LHS and RHS are equal and the bases are the same, the exponents must be equal. ⇒x−3=0⇒x=3

Find the value of x if $2^{x - 3} = 1$ .

The correct option is A 3
Given, $2^{x - 3} = 1$
We know, for any non-zero integer 'a', $a^{0} = 1$ .
$\Rightarrow 2^{x - 3} = 2^{0}$
Since the powers of 2 in the LHS and RHS are equal and the bases are the same, the exponents must be equal.
$\Rightarrow x - 3 = 0 \Rightarrow x = 3$