[latex]log 1000 = x[/latex] [latex]10^x = 1000[/latex] [latex]10^x = 10^3[/latex] [latex]x = 3[/latex] [latex]log 1000 = 3[/latex] [latex]log_2 frac{1}{1024} = x[/latex] [latex]2^x = frac{1}{1024}[/latex] [latex]2^x = frac{1}{2^{10}}[/latex] [latex]2^x = 2^{-10}[/latex] [latex]x = - 10[/latex] [latex]log_2 frac{1}{1024} = - 10[/latex] [latex]log_{frac{1}{6}} 216 = x[/latex] [latex](frac{1}{6})^x = 216[/latex] [latex](6^{-1})^x = 6^3[/latex] [latex]6^{-x} = 6^3[/latex] [latex]- x = 3 / cdot (-1)[/latex] [latex]x = - 3[/latex] [latex]log_{frac{1}{6}} 216 = - 3[/latex] [latex]log_{0,1} 0,01 = x[/latex] [latex](0,1)^x = 0,01[/latex] [latex](0,1)^x = (0,1)^2[/latex] [latex]x = 2[/latex] [latex]log_{0,1} 0,01 = 2[/latex] [latex]log_{0,64} 0,8 = x[/latex] [latex](0,64)^x = 0,8[/latex] [latex][(0,8)^2]^x = (0,8)^1[/latex] [latex](0,8)^{2x} = (0,8)^1[/latex] [latex]2x = 1 /:2[/latex] [latex]x = frac{1}{2}[/latex] [latex]log_{0,64} 0,8 =frac{1}{2}[/latex] [latex]log_{0,125} 0,5 = x[/latex] [latex](0,125)^x = 0,5[/latex] [latex][(0,5)^3]^x = (0,5)^1[/latex] [latex](0,5)^{3x} = (0,5)^1[/latex] [latex]3x = 1 / :3[/latex] [latex]x = frac{1}{3}[/latex] [latex]log_{0,125} 0,5 = frac{1}{3}[/latex] [latex]log_{0,16} 0,064 = x[/latex] [latex](0,16)^x = 0,064[/latex] [latex][(0,4)^2]^x = (0,4)^3[/latex] [latex](0,4)^{2x} = (0,4)^3[/latex] [latex]2x = 3 /:2[/latex] [latex]x = 1,5[/latex] [latex]log_{0,16} 0,064 = 1,5[/latex] [latex]log_{0,0016} 5 = x[/latex] [latex](0,0016)^x = 5[/latex] [latex](frac{16}{10000})^x = 5[/latex] [latex](frac{1}{625})^x = 5[/latex] [latex](frac{1}{5^4})^x = 5[/latex] [latex](5^{-4})^x = 5^1[/latex] [latex]5^{-4x} = 5^1[/latex] [latex]-4x = 1 /:(-4)[/latex] [latex]x = -frac{1}{4}[/latex] [latex]log_{0,0016} 5 = -frac{1}{4}[/latex] [latex]log_4 0,0625 = x[/latex] [latex]4^x = 0,0625[/latex] [latex]4^x = frac{625}{10000}[/latex] [latex]4^x = frac{1}{16}[/latex] [latex]4^x = frac{1}{4^2}[/latex] [latex]4^x = 4^{-2}[/latex] [latex]x = - 2[/latex] [latex]log_4 0,0625 = - 2[/latex]
