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Elementary Mathematics
If \( \Large \left(125\right)^{x}=3125 \), then the value of x is
A) \( \Large \frac{1}{5} \)
B) \( \Large \frac{3}{5} \)
C) \( \Large \frac{5}{3} \)
D) \( \Large \frac{5}{7} \)
Correct Answer:
C) \( \Large \frac{5}{3} \)
Description for Correct answer:
\( \Large \left(125\right)^{x} = 3125 \)
\( \Large \left(5^{3}\right)^{x} = 5^{5} \)
Therfore, 3x = 5
\( \Large x = \frac{5}{3} \)
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