If x = 1 + log 2 - log 5, y = 2 log 3 and z = log a - log 5; find the value of a, if x + y = 2z.
Logarithms
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Question

If x = 1 + log 2 - log 5, y = 2 log 3 and z = log a - log 5; find the value of a, if x + y = 2z.

KnowledgeBoat · Accepted Answer

Given, ⇒ x + y = 2z ⇒ 1 + log 2 - log 5 + 2 log 3 = 2 (log a - log 5) ⇒ log 10 + log 2 - log 5 + log 3² = 2 log ⇒ log 10 + log 2 + log 9 - log 5 = log ⇒ log = log ⇒ 2 × 2 × 9 = ⇒ a² = 5² × 2 × 2 × 9 ⇒ a² = 900 ⇒ a = = 30. Hence, a = 30.

Mathematics

If x = 1 + log 2 - log 5, y = 2 log 3 and z = log a - log 5; find the value of a, if x + y = 2z.

Logarithms

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Mathematics

If x = 1 + log 2 - log 5, y = 2 log 3 and z = log a - log 5; find the value of a, if x + y = 2z.

Logarithms

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