What is the answer to -2ln(5x)=ln(9)-ln(5) ?

The answer to -2ln(5x)=ln(9)-ln(5) is x= 1/(5e^{\frac{2ln(3)-ln(5)){2}}}

Solve for x: -2ln(5x)=ln(9)-ln(5)

The solution is x= 1/(5e^{\frac{2ln(3)-ln(5)){2}}}

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- 2 ln (5 x) = ln (9) - ln (5)

x = \frac{1}{5 e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}}

Decimal Notation

x = 0.1490711985

Solution steps

- 2 ln (5 x) = ln (9) - ln (5)

Divide both sides by

- 2

ln (5 x) = - \frac{ln ( 9 ) - ln ( 5 )}{2}

Apply log rules

5 x = \frac{1}{e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}}

Solve

5 x = \frac{1}{e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}} : x = \frac{1}{5 e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}}

x = \frac{1}{5 e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}}

Verify Solutions:

x = \frac{1}{5 e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}}

True

The solution is

x = \frac{1}{5 e ^{\frac{2 l n ( 3 ) - l n ( 5 )}{2}}}

lo g_{x} (\frac{1}{64}) = 2

lo g_{10} (x) = - 4138

1 = ln (x - 2)

lo g_{7} (4 x + 30) = lo g_{7} (72)

- 2 lo g_{x} (\frac{1}{100}) = 4

What is the answer to -2ln(5x)=ln(9)-ln(5) ?
The answer to -2ln(5x)=ln(9)-ln(5) is x= 1/(5e^{\frac{2ln(3)-ln(5)){2}}}
Solve for x: -2ln(5x)=ln(9)-ln(5)
The solution is x= 1/(5e^{\frac{2ln(3)-ln(5)){2}}}