What is the answer to log_{x}(1024)=x ?

The answer to log_{x}(1024)=x is x=(10ln(2))/(\W_{0)(10ln(2))}

Solve for x: log_{x}(1024)=x

The solution is x=(10ln(2))/(\W_{0)(10ln(2))}

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lo g_{x} (1024) = x

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

Solution steps

lo g_{x} (1024) = x

f (x) = g (x),

then

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

x^{l o g_{x} (1024)} = x^{x}

Simplify

x^{l o g_{x} (1024)} : 1024

1024 = x^{x}

Solve

1024 = x^{x} : x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

Verify Solutions:

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

True

The solution is

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

lo g_{10} (x) = - 2.62

5.25 = lo g_{10} (x)

ln (\frac{x}{3}) = 4

2 lo g_{5} (5 x) - 1 = 11

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

What is the answer to log_{x}(1024)=x ?
The answer to log_{x}(1024)=x is x=(10ln(2))/(\W_{0)(10ln(2))}
Solve for x: log_{x}(1024)=x
The solution is x=(10ln(2))/(\W_{0)(10ln(2))}