Question

Please the step by step explanation for $2^x = 0.125$

Answer 1

Answer:

x=-3

Step-by-step explanation:

Given,

${2}^{x}=0.125$

multiply and dividing by 16 on R.H.S

${2}^{x}=0.125×\frac{16}{16}$

${2}^{x}=\frac{2}{16}$

we know that,

$16={2}^{4}$

${2}^{x}=\frac{2}{{2}^{4}}$

${2}^{x}={2}^{-3}$

$\bold{\boxed{x=-3}}$

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