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Question
Find x, if : 42x = `1/32`
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Solution
42x = `1/32`
⇒ ( 2 x 2 )2x = `1/[ 2 xx 2 xx 2 xx 2 xx 2]`
⇒ ( 22 )2x = `1/[ 2^5]`
⇒ 22 x 2x = 2- 5
⇒ 24x = 2- 5
We know that if bases are equal, the powers are equal
⇒ 4x = - 5
⇒ x = `(-5)/4`
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