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

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

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

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

x = 2, x = 1

Solution steps

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

Rewrite the equation with

lo g_{2} (x) = u

u = (u)^{2}

Solve

u = u^{2} : 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

8 ln (x - 9) = 1

lo g_{3} (x) = lo g_{9} (2 x - 1)

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

lo g_{10} (x) = 0.00002

lo g_{5} (x) = 3 - lo g_{5} (x + 20)

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