Question

-Preciso dessas resoluções dou 38 pontos

Answer 1

$log_{16}32=x \\ \\ 16^x=32 \\ \\ (2^4)^x=2^5\\ \\ 2^{4x}=2^5\\ \\ 4x=5\\ \\ x=\frac{5}{4}$
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$log0,001=x\\ \\ 10^x=0,001\\ \\ 10^x=10^{-3}\\ \\ x=-3$
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$log_381=x\\ \\ 3^x=81\\ \\ 3^x=3^4\\ \\ x=4$
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$log_927=x\\ \\ 9^x=27\\ \\ (3^2)^x=3^3\\ \\ 3^{2x}=3^3\\ \\ 3x=3\\ \\ x=\frac{3}{2}$
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$log1000=x\\ \\ 10^x=1000\\ \\ 10^x=10^3\\ \\ x=3$
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$log_{0,0001}0,01=x\\ \\ (0,0001)^x=0,01\\ \\ (10^{-4})^x=10^{-2}\\ \\ 10^{-4x}=10^{-2}\\ \\ -4x=-2\\ \\ x=\frac{1}{2}$
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$log_{100000}10^2=x\\ \\ 100000^x = 10^2\\ \\ (10^5)^x=10^2\\ \\ 10^{5x}=10^2\\ \\ 5x=2\\ \\ x=\frac{2}{5}$
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