What is the answer to log_{2}(x^9)=-9 ?

The answer to log_{2}(x^9)=-9 is x= 1/2

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log_{2}(x^9)=-9

lo g_{2} (x^{9}) = - 9

x = \frac{1}{2}

Solution steps

lo g_{2} (x^{9}) = - 9

Apply log rules

x = \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

lo g_{4 x} (2 x + 5) = \frac{8}{5}

- 9 lo g_{2} (8 - 9 x) - 5 = - 41

lo g_{5} (x^{2} - 24 x) = 2

lo g_{10} (x) = - 0.26916

lo g_{10} (\frac{1}{x}) = - 6.34