What is the answer to 4+ln(27x)=22-2ln(x) ?

The answer to 4+ln(27x)=22-2ln(x) is x=e^{(18-3ln(3))/3}

Solve for x: 4+ln(27x)=22-2ln(x)

The solution is x=e^{(18-3ln(3))/3}

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4 + ln (27 x) = 22 - 2 ln (x)

x = e^{\frac{18 - 3 l n ( 3 )}{3}}

Decimal Notation

x = 134.47626 \dots

Solution steps

4 + ln (27 x) = 22 - 2 ln (x)

Apply log rules

x = e^{\frac{18 - 3 l n ( 3 )}{3}}

Verify Solutions:

x = e^{\frac{18 - 3 l n ( 3 )}{3}}

True

The solution is

x = e^{\frac{18 - 3 l n ( 3 )}{3}}

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

ln (1 - 4 x) = - 5.6 x

ln (7 - x) + ln (3 x + 5) = ln (24 x)

- lo g_{10} (x) = 4.19

ln (x) = - \infty

What is the answer to 4+ln(27x)=22-2ln(x) ?
The answer to 4+ln(27x)=22-2ln(x) is x=e^{(18-3ln(3))/3}
Solve for x: 4+ln(27x)=22-2ln(x)
The solution is x=e^{(18-3ln(3))/3}