What is the answer to 2048*log_{x}(2)=x ?

The answer to 2048*log_{x}(2)=x is x=256

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2048*log_{x}(2)=x

2048 \cdot lo g_{x} (2) = x

x = 256

Solution steps

2048 lo g_{x} (2) = x

Divide both sides by

2048

lo g_{x} (2) = \frac{x}{2048}

f (x) = g (x),

then

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

x^{l o g_{x} (2)} = x^{\frac{x}{2048}}

Simplify

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

2 = x^{\frac{x}{2048}}

Solve

2 = x^{\frac{x}{2048}} : x = 256

x = 256

Verify Solutions:

x = 256

True

The solution is

x = 256

lo g_{5} (x) = \frac{3}{2}

ln (3) = \frac{ln ( - 9 + 2 c )}{2}

lo g_{10} (m) = 1.5

3 - ln (- 6 - x) = 0

0.5952 = 0.6446 ln (x) - 0.5557

What is the answer to 2048*log_{x}(2)=x ?
The answer to 2048*log_{x}(2)=x is x=256
Solve for x: 2048*log_{x}(2)=x
The solution is x=256