Question

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

Answer 1

x⁷ = 60

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