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

The answer to log_{2}(x)=sqrt(log_{2)(x)} is x=2,x=1

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log_{2}(x)=sqrt(log_{2)(x)}

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

x = 2, x = 1

Solution steps

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

Rewrite the equation with

lo g_{2} (x) = u

u = u

Solve

u = u : u = 1, u = 0

u = 1, u = 0

Substitute back

u = lo g_{2} (x),

solve for

x

Solve

lo g_{2} (x) = 1 : x = 2

Solve

lo g_{2} (x) = 0 : x = 1

x = 2, x = 1

Verify Solutions:

x = 2

True

, x = 1

True

The solutions are

x = 2, x = 1

lo g_{x} (0.008) = 3

lo g_{10} (x) + lo g_{10} (x - 48) = 2

lo g_{10} (x) = - 6

2 + 8 ln (x) = 7

lo g_{2 x - 4} (2 x^{2} - 14) = 2

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