What is the answer to log_{2/5}(x)=-1 ?

The answer to log_{2/5}(x)=-1 is x= 5/2

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log_{2/5}(x)=-1

lo g_{\frac{2}{5}} (x) = - 1

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

lo g_{\frac{2}{5}} (x) = - 1

Apply log rules

x = \frac{5}{2}

ln (2 x - 3) = 5

ln (3 x - 7) = 4

ln (x^{2}) = 3

ln (x^{2}) = 2

lo g_{x} (3) = \frac{1}{2}