Log½ 128= x give me a solution about that
Answer (1)
Answer:[tex] log \frac{1}{2} 128 = - 7[/tex]Step-by-step explanation:[tex] log_{ \frac{1}{2} }128 = x \\ ( \frac{1}{2} )^{x} = 128 \\ \frac{1}{2} = {2}^{ - 1} \\ {(2}^{ - 1} )^{x} = 128 \\ {2}^{ - x} = 128 \\ [/tex]next step is express 128 as a power of 2 [tex]128 = {2}^{7} \\ {2}^{ - x} = {2}^{7} \\ - x = 7 \\ log_{ \frac{1}{2} }128 = - 7 [/tex]
