What is the answer to 2ln(x)=ln(x^4)-ln(8) ?

The answer to 2ln(x)=ln(x^4)-ln(8) is x=e^{(3ln(2))/2}

Solve for x: 2ln(x)=ln(x^4)-ln(8)

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

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2 ln (x) = ln (x^{4}) - ln (8)

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

Decimal Notation

x = 2.82842 \dots

Solution steps

2 ln (x) = ln (x^{4}) - ln (8)

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

lo g_{4} (x) = 1.5

ln (x + 1) = 4

lo g_{2} (5 x) - 3 lo g_{2} (7) = 0

9 x^{l o g_{3} (x)} - x^{3} = 0

lo g_{3} ((r + 4)^{2}) = 2

What is the answer to 2ln(x)=ln(x^4)-ln(8) ?
The answer to 2ln(x)=ln(x^4)-ln(8) is x=e^{(3ln(2))/2}
Solve for x: 2ln(x)=ln(x^4)-ln(8)
The solution is x=e^{(3ln(2))/2}