Answer :
Final answer:
The solution of logarithmic equations log2x − 3125 = 3 is x = 2^3128.
Explanation:
To solve the equation log2x − 3125 = 3, we will follow these steps:
- Add 3125 to both sides of the equation to isolate the logarithmic term: log2x = 3125 + 3 = 3128.
- Apply the inverse operation of the logarithm, which is exponentiation, to both sides of the equation. Since the base of the logarithm is 2, we will raise 2 to the power of both sides: 2^(log2x) = 2^3128.
- By applying the inverse operation, the logarithm and exponentiation cancel each other out, leaving us with x on the left side: x = 2^3128.
- Finally, we can use a calculator or computer software to evaluate 2^3128, which gives us the solution for x.
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