What is the answer to log_{9}(y)=-1/2 ?

The answer to log_{9}(y)=-1/2 is y= 1/3

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log_{9}(y)=-1/2

lo g_{9} (y) = - \frac{1}{2}

y = \frac{1}{3}

Decimal Notation

y = 0.33333 \dots

Solution steps

lo g_{9} (y) = - \frac{1}{2}

Apply log rules

y = \frac{1}{3}

lo g_{5} (x + 4) = 1 - lo g_{5} (x + 8)

lo g_{x} (\frac{16}{81}) = 4

lo g_{10} (2 x + 50) = 2

lo g_{10} (x) (6 x - 8) = 2

0.75 = lo g_{10} (x)