f(x)= -3*0,5^(-x-1) равно -24?. Created by ktsuektsue. algebra-ru

f(x)= -3*0,5^(-x-1) равно -24?...

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$f(x)=-3\cdot 0,5^{-x-1}\; ,\; \; f(x)=-24\\\\-3\cdot 0,5^{-x-1}=-24\\\\0,5^{-x-1}=8\\\\0,5= \frac{5}{10}= \frac{1}{2}=2^{-1}\; ,\; \; \; 8=2^3\\\\(2^{-1})^{-x-1} =2^3\\\\2^{x+1}=2^3\\\\x+1=3\\\\x=2$

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task/24797350
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F(x)= -3*0,5^(-x-1) равно -24
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-3*(1/2)^(-x-1) = -24 ||: (-3)
(2⁻¹ )^ ( -(x+1) ) =8 * * * ( a^m) ^ n =a^(m*n) * * *
2^ (x+1) = 2³ ;
x+1 = 3 ;
x =2.

ответ : 2.

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