What is the answer to log_{216}(x)=-1/3 ?

The answer to log_{216}(x)=-1/3 is x= 1/6

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log_{216}(x)=-1/3

lo g_{216} (x) = - \frac{1}{3}

x = \frac{1}{6}

Decimal

x = 0.16666 \dots

Solution steps

lo g_{216} (x) = - \frac{1}{3}

Apply log rules

x = \frac{1}{6}

lo g_{10} (3 x + 7) = 2

0 = x ln (3 x - 5)

ln (3 x - 5) = 6

lo g_{10} (x) = 0

lo g_{2} (5 x) = 4 x

What is the answer to log_{216}(x)=-1/3 ?
The answer to log_{216}(x)=-1/3 is x= 1/6
Solve for x: log_{216}(x)=-1/3
The solution is x= 1/6