Find the Domain ( log base 2 of x)( log base 8 of x)=12

Problem

(log_2)(x)*(log_8)(x)=12

Solution

1. Identify the logarithmic arguments. For any logarithm (log_b)(x) to be defined, the argument x must be strictly greater than zero.

2. Set the inequality for the domain based on the requirement that x>0

3. Determine the domain of the equation by considering all constraints on x Since both logarithmic terms share the same argument x the only restriction is x>0

Final Answer

Domain:(0,∞)

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