\(1000^x=0.1\); solve for x
\(1000^x=0.1\)
\((10^3)^x=0.1\)
\(10^(3x)=0.1\)
\(10^(3x)=1/10\)
\(10^(3x)=10^-1\)
\(3x=-1\)
\(x=-1/3\)
1/10*1/1000 = 1/10000
x=1/10000
Solve for x over the real numbers: 1000^x = 0.1 0.1 = 1/10: 1000^x = 1/10 Take the logarithm base 1000 of both sides: Answer: | x = -1/3
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