Oblicz x, jeżeli: a)[latex]log1000 = x[/latex] b)[latex]log_2 x= 10[/latex] c)[latex]log_{frac{1}{5}}1=x[/latex] d)[latex]log_{frac{1}{2}}x = -2[/latex] e)[latex]log_x27=3[/latex] f)[latex]log_x36=-2[/latex]

a)  log 1000 = x  <=> 10^x = 1000 => x = 3 x = 3 ==== b) log 2 ( x) = 10 <=> 2^10 = x  => x = 1024 x = 1024 ========== c) log 1/5 ( 1 ) = x <=> (1/5)^x = 1  => x = 0 x = 0 ========== d)  log 1/2 ( x) = - 2 <=> (1/2)^ (-2) = x  => x = 2^2 = 4 x = 4 ========== e)  log x ( 27 ) = 3 <=> x^3 = 27 => x = 3 x = 3 ======= f)  log x ( 36) = - 2  <=> x^(-2) = 36 => x = 1/6 x = 1/6 ============

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