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TheRookieGuard TheRookieGuard
  • 11-11-2014
  • Mathematics
Answered

find the value of x

log x 8 = 0.5

Verified Answer :

Anonymous Anonymous
  • 11-11-2014

\(D:x > 0\ and\ x eq1\\\\log_x8=0.5\iff x^{0.5}=8\ \ \ \ |square\ of\ both\ sides\\\\\left(x^{0.5}\right)^2=8^2\\\\x=64\\\\check:\\log_{64}8=0.5\iff64^{0.5}=8\to 64^\frac{1}{2}=\sqrt{64}=8\)

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