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

The answer to log_{2}(x)*log_{2}(x)=9 is x=8,x= 1/8

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log_{2}(x)*log_{2}(x)=9

lo g_{2} (x) \cdot lo g_{2} (x) = 9

x = 8, x = \frac{1}{8}

Decimal Notation

x = 8, x = 0.125

Solution steps

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

Rewrite the equation with

lo g_{2} (x) = u

uu = 9

Solve

uu = 9 : u = 9, u = - 9

u = 9, u = - 9

Substitute back

u = lo g_{2} (x),

solve for

x

Solve

lo g_{2} (x) = 9 : x = 8

Solve

lo g_{2} (x) = - 9 : x = \frac{1}{8}

x = 8, x = \frac{1}{8}

Verify Solutions:

x = 8

True

, x = \frac{1}{8}

True

The solutions are

x = 8, x = \frac{1}{8}

lo g_{3} (x) - lo g_{9} (x + 42) = 0

lo g_{x} (121) = 2

lo g_{3 x} (18) = lo g_{4} (8)

lo g_{x} (8) = 3

ln (7 + 2 x) = ln (1 + 4 x)

What is the answer to log_{2}(x)*log_{2}(x)=9 ?
The answer to log_{2}(x)*log_{2}(x)=9 is x=8,x= 1/8
Solve for x: log_{2}(x)*log_{2}(x)=9
The solution is x=8,x= 1/8