What is the answer to ln(x)+ln(9x)=3 ?

The answer to ln(x)+ln(9x)=3 is x=e^{(3-2ln(3))/2}

Solve for x: ln(x)+ln(9x)=3

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

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ln (x) + ln (9 x) = 3

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

Decimal Notation

x = 1.49389 \dots

Solution steps

ln (x) + ln (9 x) = 3

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (x) = y, x

- 8 + lo g_{5} (x + 8) = - 7

2 + lo g_{2} (x) = lo g_{2} (7)

lo g_{10} (5 w - 12) = lo g_{10} (2 w)

ln (4 x) = 4 x

What is the answer to ln(x)+ln(9x)=3 ?
The answer to ln(x)+ln(9x)=3 is x=e^{(3-2ln(3))/2}
Solve for x: ln(x)+ln(9x)=3
The solution is x=e^{(3-2ln(3))/2}