What is the answer to 2ln(5)+ln(x)-ln(4)=3 ?

The answer to 2ln(5)+ln(x)-ln(4)=3 is x=(4e^3)/(25)

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2ln(5)+ln(x)-ln(4)=3

2 ln (5) + ln (x) - ln (4) = 3

x = \frac{4 e ^{3}}{25}

Decimal Notation

x = 3.21368 \dots

Solution steps

2 ln (5) + ln (x) - ln (4) = 3

Move

2 ln (5)

to the right side

ln (x) - ln (4) = 3 - 2 ln (5)

Move

ln (4)

to the right side

ln (x) = 3 - 2 ln (5) + ln (4)

Apply log rules

x = \frac{4 e ^{3}}{25}

Verify Solutions:

x = \frac{4 e ^{3}}{25}

True

The solution is

x = \frac{4 e ^{3}}{25}

ln (x + 11) + ln (x - 5) = 2 ln (x)

lo g_{x} (49) = 7

lo g_{10} (x) = 21

lo g_{10} (x) = 20

lo g_{10} (x) = 25

What is the answer to 2ln(5)+ln(x)-ln(4)=3 ?
The answer to 2ln(5)+ln(x)-ln(4)=3 is x=(4e^3)/(25)
Solve for x: 2ln(5)+ln(x)-ln(4)=3
The solution is x=(4e^3)/(25)