Question #9394

Sub 26
Ques. 31

Solve:

12^2x = 1000

Expert's answer

Question #9394

Solve: 122x=100012^{2x} = 1000

Solution


122x=1000;12^{2x} = 1000;lg⁡122x=lg⁡1000;\lg 12^{2x} = \lg 1000;2x⋅lg⁡12=3;2x \cdot \lg 12 = 3;x=32⋅lg⁡12.x = \frac{3}{2 \cdot \lg 12}.


Answer: x=32⋅lg⁡12x = \frac{3}{2 \cdot \lg 12}.

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