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Juan Set 2 Paper 1 · Q10

Paper 1Powers & logarithms

Let a>1a>1, and let xx, yy be positive real numbers such that, arranged from smallest to largest,

log⁡ax,log⁡ay,log⁡a(x+y)\log_a x,\qquad\log_a y,\qquad\log_a(x+y)

are consecutive integers.

What is the value of log⁡a(2a+1)\log_a(2a+1)?

A−2-2
B−1-1
C2
D3
E4

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