What is the answer to log_{x}(sqrt(8))=3 ?

The answer to log_{x}(sqrt(8))=3 is x=e^{(ln(2))/2}

Solve for x: log_{x}(sqrt(8))=3

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

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lo g_{x} (8) = 3

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

Decimal Notation

x = 1.41421 \dots

Solution steps

lo g_{x} (8) = 3

Apply log rules

\frac{ln ( 8 )}{ln ( x )} = 3

Multiply both sides by

ln (x)

\frac{ln ( 8 )}{ln ( x )} ln (x) = 3 ln (x)

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

lo g_{32} (2) = lo g_{2} (x)

lo g_{10} (x) = 7.898888

lo g_{10} (X) = - 0.04

y, ln (m - y) = k t

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

What is the answer to log_{x}(sqrt(8))=3 ?
The answer to log_{x}(sqrt(8))=3 is x=e^{(ln(2))/2}
Solve for x: log_{x}(sqrt(8))=3
The solution is x=e^{(ln(2))/2}