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Explanation:

log7 log5 x+5+x = 0

We know

loga  b = x ⇒ ax = b

∴log5 x+5+x = 70
⇒ log5x+5+x = 1
⇒ x+5+x = 51
⇒ x+5=5-x

Squaring both sides
⇒ x + 5 = 25 + x − 2 × 5x
⇒ x + 5 = 25 + x + 10x

⇒ 10x = 20
⇒ x = 2
⇒ x2 = (2)2
⇒ x = 4

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