DC L.

asked • 07/05/20# solve the equation analytically

solve the equation analytically

5^{x} = −2

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## 1 Expert Answer

take logs of both sides..

log (5^{x}) = log(-2)

x log (5) = log(-2)

x = log(-2)/log(5)

now pull out the calculator....

DC L.

going to town on it now, thanks a lot Steven
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07/05/20

Mark M.

log (-2) is meaningless. It does not exist.
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07/05/20

Arturo O.

If x is a real number, 5^x is always positive. There is no real solution to this problem. And as Mark pointed out, the logarithm of a negative number does not exist.
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07/05/20

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Arturo O.

If x is a real number, 5^x is always positive.07/05/20