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Popular >

2log_{2}(x)=x

Solution

2 lo g_{2} (x) = x

Solution

x = 4, x = 2

Solution steps

2 lo g_{2} (x) = x

Divide both sides by

2

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

If

f (x) = g (x),

then

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

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

Simplify

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

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

Popular Examples

log_{10}(3+x)=log_{10}(x)+2

lo g_{10} (3 + x) = lo g_{10} (x) + 2

log_{2}(z+6)=log_{2}(z-1)+3

lo g_{2} (z + 6) = lo g_{2} (z - 1) + 3

0.5075=-log_{10}(x)

0.5075 = - lo g_{10} (x)

log_{3}(x-5)=-2

lo g_{3} (x - 5) = - 2

- 1 = ln (7 x)

Frequently Asked Questions (FAQ)

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