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

The answer to log_{sqrt(x)}(sqrt(3))=2 is x=e^{(ln(3))/2}

Solve for x: log_{sqrt(x)}(sqrt(3))=2

The solution is x=e^{(ln(3))/2}

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lo g_{x} (3) = 2

x = e^{\frac{l n ( 3 )}{2}}

Decimal Notation

x = 1.73205 \dots

Solution steps

lo g_{x} (3) = 2

Apply log rules

\frac{ln ( 3 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 3 )}{ln ( x )} ln (x) = 2 ln (x)

Apply log rules

x = e^{\frac{l n ( 3 )}{4}}

Solve

x = e^{\frac{l n ( 3 )}{4}} : x = e^{\frac{l n ( 3 )}{2}}

x = e^{\frac{l n ( 3 )}{2}}

Verify Solutions:

x = e^{\frac{l n ( 3 )}{2}}

True

The solution is

x = e^{\frac{l n ( 3 )}{2}}

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

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

50 = 12.751 ln (x) + 18.864

lo g_{10} (5 - x) = 3

1 + lo g_{4} (t) = 6 lo g_{t} (16)

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