What is the answer to ln(x-2)-ln(8)=2 ?

The answer to ln(x-2)-ln(8)=2 is x=8e^2+2

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ln(x-2)-ln(8)=2

ln (x - 2) - ln (8) = 2

x = 8 e^{2} + 2

Decimal Notation

x = 61.11244 \dots

Solution steps

ln (x - 2) - ln (8) = 2

Move

ln (8)

to the right side

ln (x - 2) = 2 + ln (8)

Apply log rules

x - 2 = 8 e^{2}

Solve

x - 2 = 8 e^{2} : x = 8 e^{2} + 2

x = 8 e^{2} + 2

Verify Solutions:

x = 8 e^{2} + 2

True

The solution is

x = 8 e^{2} + 2

lo g_{4} (2 x + 1) - lo g_{2} (1 - x) = 2

lo g_{4} (8) + lo g_{4} (x - 4) = 3

2 \cdot lo g_{3} (x - 1) = 4

lo g_{2} (n) = 10000000

37.162 = lo g_{10} (x)

What is the answer to ln(x-2)-ln(8)=2 ?
The answer to ln(x-2)-ln(8)=2 is x=8e^2+2
Solve for x: ln(x-2)-ln(8)=2
The solution is x=8e^2+2