What is the answer to log_{x}(3^x)= x/2 ?

The answer to log_{x}(3^x)= x/2 is x=9

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log_{x}(3^x)= x/2

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

x = 9

Solution steps

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

f (x) = g (x),

then

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

x^{l o g_{x} (3^{x})} = x^{\frac{x}{2}}

Simplify

x^{l o g_{x} (3^{x})} : 3^{x}

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

Solve

3^{x} = x^{\frac{x}{2}} : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

lo g_{x + 1} (4) = 2

0.23 = ln (y)

lo g_{10} (- x - 4) = 2

50 = - 23.98 ln (x) + 33.243

2 ln (x - 6) = - 2

What is the answer to log_{x}(3^x)= x/2 ?
The answer to log_{x}(3^x)= x/2 is x=9
Solve for x: log_{x}(3^x)= x/2
The solution is x=9