If , the least value of…

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

Problem

If log⁡327⋅log⁡x7=log⁡27x⋅log⁡73\log_3 27\cdot\log_x 7=\log_{27}x\cdot\log_7 3, the least value of xx is (1) 7−37^{-3} (2) 3−73^{-7} (3) 737^3 (4) 373^7

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