The equation has the solution:

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The equation 2×5x+2=72 \times 5^{x+2} = 7 has the solution: (A) x=1x = 1 (B) x=log⁡5(72)x = \log_5\left(\frac{7}{2}\right) (C) x=log⁡5(72)−2x = \log_5\left(\frac{7}{2}\right) - 2 (D) x=log⁡7(52)−2x = \log_7\left(\frac{5}{2}\right) - 2

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