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which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7

Sagot :

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Answer:

x⁷ = 60

Step-by-step explanation:

Given :-

  • log x⁵ + log x ¹² = 7 .

To Find :-

  • The expotential equation .

Solution :-

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

⇒ x⁷ = 60

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