What is the answer to ln(x)+ln(3x)=14 ?

The answer to ln(x)+ln(3x)=14 is x=e^{(14-ln(3))/2}

Solve for x: ln(x)+ln(3x)=14

The solution is x=e^{(14-ln(3))/2}

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ln (x) + ln (3 x) = 14

x = e^{\frac{14 - l n ( 3 )}{2}}

Decimal Notation

x = 633.14144 \dots

Solution steps

ln (x) + ln (3 x) = 14

Apply log rules

x = e^{\frac{14 - l n ( 3 )}{2}}

Verify Solutions:

x = e^{\frac{14 - l n ( 3 )}{2}}

True

The solution is

x = e^{\frac{14 - l n ( 3 )}{2}}

lo g_{3} (x + 2) = 1 + lo g_{3} (x)

2 ln (y) = ln (y^{2})

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

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

lo g_{x + 2} (3 x^{2} + 4 x - 14) = 2

What is the answer to ln(x)+ln(3x)=14 ?
The answer to ln(x)+ln(3x)=14 is x=e^{(14-ln(3))/2}
Solve for x: ln(x)+ln(3x)=14
The solution is x=e^{(14-ln(3))/2}