1.

(7)\[\log _{2}(0.0625)=x\]

Answer»

\(log_2(0.0625) = x\)

⇒ \(x = log_2\left(\frac{625}{10000}\right) = log_2\left(\frac{25\times25}{100\times 100}\right)\)

\(= log_2\left(\frac1{16}\right) = - log_2 16\)

\(= - log_22^4\)

\(= -4log_22\)

\(= -4\)



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