MATHEMATICS

JAMB 2008 - Question 8

Mathematics 2008 JAMB Past Questions - Question 8: if log x1/2 64=3, find the value of x.

if log x1/2 64=3, find the value of x.
A:
B:
C:
D:
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Correct Answer

B

Explanation

log x1/2 64=3 , i.e 2log x⁶⁴ = 4²= 16To find the value of x in the equation log x1/2 64 = 3, we can rewrite the equation using exponential notation.The equation log x1/2 64 = 3 can be rewritten as:x1/2 = 64^3To simplify further, we can rewrite 64 as 2^6:x1/2 = (2^6)^3Using the property of exponents, we can simplify the equation:x1/2 = 2^(6*3)x1/2 = 2^18To eliminate the fractional exponent, we can raise both sides of the equation to the power of 2:(x1/2)^2 = (2^18)^2Simplifying further:x = 2^(18*2)x = 2^36Therefore, the value of x is 2^36.