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

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

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

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

x = 4 e^{3} - 2

Decimal Notation

x = 78.34214 \dots

Solution steps

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

Move

ln (4)

to the right side

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

Apply log rules

x + 2 = 4 e^{3}

Solve

x + 2 = 4 e^{3} : x = 4 e^{3} - 2

x = 4 e^{3} - 2

Verify Solutions:

x = 4 e^{3} - 2

True

The solution is

x = 4 e^{3} - 2

4 ln (x - e) = 4

x, lo g_{x + 1} (y) = 2

\frac{1}{x} = \frac{ln ( x ) + x}{x}

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

9.1 = 10 lo g_{10} (\frac{4.8}{x})

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