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Solve for a positive value of x. log_(2)(x)=6 Answer:

Solve for a positive value of x x .\newlinelog⁡2(x)=6 \log _{2}(x)=6 \newlineAnswer:

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Full solution

Q. Solve for a positive value of x x .\newlinelog⁡2(x)=6 \log _{2}(x)=6 \newlineAnswer:
  1. Rewrite as Exponential Equation: We have the equation log⁡2(x)=6\log_{2}(x) = 6. How can we rewrite this as an exponential equation? log⁡2(x)=6\log_{2}(x) = 6 can be written as 26=x2^6 = x.
  2. Calculate 262^6: Calculate the value of 262^6.\newline26=2×2×2×2×2×22^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2\newline26=642^6 = 64\newlineSo, x=64x = 64.

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