Question

If 4raise to x=1/32,find the value of x

Answer 1

${4}^{x} = \frac{1}{32} \\ {2}^{2x} = {2}^{ - 5} \\ if \: bases \: are \: same \: \: \: \: so \: \\ exponent \: are \: also \: same \\ 2x = - 5 \\ x = \frac{ - 5}{2}$

Answer 2

${4}^{x} = \frac{1}{32 } \\ x = - \frac{5}{2}$
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