What is the answer to log_{x}(sqrt(3))=1 ?

The answer to log_{x}(sqrt(3))=1 is x=3^{1/2}

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log_{x}(sqrt(3))=1

lo g_{x} (3) = 1

x = 3^{\frac{1}{2}}

Decimal Notation

x = 1.73205 \dots

Solution steps

lo g_{x} (3) = 1

Apply log rules

\frac{ln ( 3 )}{ln ( x )} = 1

Multiply both sides by

ln (x)

\frac{ln ( 3 )}{ln ( x )} ln (x) = 1 \cdot ln (x)

Apply log rules

3^{\frac{1}{2}} = x

Switch sides

x = 3^{\frac{1}{2}}

Verify Solutions:

x = 3^{\frac{1}{2}}

True

The solution is

x = 3^{\frac{1}{2}}

5 ln (7 x + 4) - 9 = - 19

lo g_{9} (x - 2) = lo g_{3} (4)

lo g_{2} (x) = lo g_{2} (6 x - 1)

lo g_{x} (32) = \frac{1}{4}

0 = 20 lo g_{10} (x)

What is the answer to log_{x}(sqrt(3))=1 ?
The answer to log_{x}(sqrt(3))=1 is x=3^{1/2}
Solve for x: log_{x}(sqrt(3))=1
The solution is x=3^{1/2}