radomes.openskiesproject.org
123qw 123qw
  • 20-11-2014
  • Mathematics
Answered

8 to the power of x = 2

4 to the power of x = 8

Verified Answer :

mariamikayla
mariamikayla mariamikayla
  • 20-11-2014

\(\# \ 1 \\\\ 8^x=2 \\\\ (2^3)^x=2 \\\\ 2^{3x}=2 \\\\ 3x=1 \\\\ \boxed{x=\frac{1}{3}} \\\\\\ \# \ 2 \\\\ 4^x=8 \\\\ (2^2)^x=2^3 \\\\ 2^{2x}=2^3 \\\\ 2x=3 \\\\ \boxed{x=\frac{3}{2}}\)

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konrad509
konrad509 konrad509
  • 20-11-2014

\(8^x=2\\ 2^{3x}=2^1\\ 3x=1\\ x=\frac{1}{3}\\\\ 4^x=8\\ 2^{2x}=2^3\\ 2x=3\\ x=\frac{3}{2}\)

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