If a² = log x, b³ = log y and 3a² - 2b³ = 6 log z, express y in terms of x and z.
Logarithms
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Question

If a² = log x, b³ = log y and 3a² - 2b³ = 6 log z, express y in terms of x and z.

KnowledgeBoat · Accepted Answer

⇒ 3a² - 2b³ = 6 log z ⇒ 3log x - 2log y = 6 log z ⇒ log x³ - log y² = log z⁶ ⇒ log = log z⁶ ⇒ ⇒ ⇒ ⇒ y = . Hence, .

Mathematics