# Give an example of a logarithmic equation that has no real solution.

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An example of a logarithmic equation that cannot be solved is log(10 - x^2) = 5log(10 - x^2) = 5

=> 10 - x^2 = 10^5

=> x^2 = 10 - 10^5

10 - 10^5 is a negative number. For this to happen x has to take on a complex value.

**The logarithmic equation log(10 - x^2) = 5 is an example of an equation that does not have a real solution.**