What is the answer to log_{x}(2)-3log_{2}(x)=2 ?

The answer to log_{x}(2)-3log_{2}(x)=2 is x= 1/2 ,x=\sqrt[3]{2}

Solve for x: log_{x}(2)-3log_{2}(x)=2

The solution is x= 1/2 ,x=\sqrt[3]{2}

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

Solution steps

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

Apply log rules

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

Rewrite the equation with

lo g_{2} (x) = u

\frac{1}{u} - 3 u = 2

Solve

\frac{1}{u} - 3 u = 2 : u = - 1, u = \frac{1}{3}

u = - 1, u = \frac{1}{3}

Substitute back

u = lo g_{2} (x),

solve for

x

Solve

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

Solve

Verify Solutions:

x = \frac{1}{2}

True

The solutions are

ln (x + 1) \cdot 2 x + 1 = 0

lo g_{x} (\frac{8}{27}) = 3

ln (3 x + e) = 5

ln (x^{8}) - ln (x^{4}) = 4

ln (3 x + e) = 9

What is the answer to log_{x}(2)-3log_{2}(x)=2 ?
The answer to log_{x}(2)-3log_{2}(x)=2 is x= 1/2 ,x=\sqrt[3]{2}
Solve for x: log_{x}(2)-3log_{2}(x)=2
The solution is x= 1/2 ,x=\sqrt[3]{2}