What is the answer to log_{343}(x)=-1/3 ?

The answer to log_{343}(x)=-1/3 is x= 1/7

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log_{343}(x)=-1/3

lo g_{343} (x) = - \frac{1}{3}

x = \frac{1}{7}

Decimal Notation

x = 0.14285 \dots

Solution steps

lo g_{343} (x) = - \frac{1}{3}

Apply log rules

x = \frac{1}{7}

lo g_{10} (10) + lo g_{10} (x - 9) = 1

- 3 x + 9 = lo g_{10} (x)

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

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

lo g_{12} (4 x + 2) = 0

What is the answer to log_{343}(x)=-1/3 ?
The answer to log_{343}(x)=-1/3 is x= 1/7
Solve for x: log_{343}(x)=-1/3
The solution is x= 1/7