Question

Find x, if : 4^2x = `1/32`

Answer 1

4^2x = `1/32`

⇒ ( 2 x 2 )^2x = `1/[ 2 xx 2 xx 2 xx 2 xx 2]`

⇒ ( 2² )^2x = `1/[ 2^5]`

⇒ 2^{2 x 2x} = 2^{- 5}

⇒ 2^4x = 2^{- 5}

We know that if bases are equal, the powers are equal
⇒ 4x = - 5
⇒ x = `(-5)/4`