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

The answer to log_{sqrt(2)}(x)=x is x=4,x=2

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

lo g_{2} (x) = x

x = 4, x = 2

Solution steps

lo g_{2} (x) = x

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

(2)^{l o g_{2} (x)} = (2)^{x}

Simplify

(2)^{l o g_{2} (x)} : x

Simplify

(2)^{x} : 2^{\frac{x}{2}}

x = 2^{\frac{x}{2}}

Solve

x = 2^{\frac{x}{2}} : x = 4, x = 2

x = 4, x = 2

Verify Solutions:

x = 4

True

, x = 2

True

The solutions are

x = 4, x = 2

lo g_{10} (x) = 6.6

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

9^{\frac{1}{2}} = 3 lo g_{10} (x)

ln (x - 8) = 0

ln (1 + x) - x = 0

What is the answer to log_{sqrt(2)}(x)=x ?
The answer to log_{sqrt(2)}(x)=x is x=4,x=2
Solve for x: log_{sqrt(2)}(x)=x
The solution is x=4,x=2