What is the answer to log_{5}(x+2)=-3 ?

The answer to log_{5}(x+2)=-3 is x=-249/125

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log_{5}(x+2)=-3

lo g_{5} (x + 2) = - 3

x = - \frac{249}{125}

Decimal Notation

x = - 1.992

Solution steps

lo g_{5} (x + 2) = - 3

Apply log rules

x + 2 = \frac{1}{125}

Solve

x + 2 = \frac{1}{125} : x = - \frac{249}{125}

x = - \frac{249}{125}

lo g_{4} (x) + lo g_{8} (x) = 1

lo g_{m} (\frac{8}{125}) = - 3

lo g_{5} (x) = 6

lo g_{5} (x) = 5

0.57 = lo g_{10} (x)

What is the answer to log_{5}(x+2)=-3 ?
The answer to log_{5}(x+2)=-3 is x=-249/125
Solve for x: log_{5}(x+2)=-3
The solution is x=-249/125