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

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

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

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

x = 8

Solution steps

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

Add

ln (2)

to both sides

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

Simplify

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

Apply log rules

x \cdot 2 = x + 8

Solve

x \cdot 2 = x + 8 : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

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

lo g_{2} (6 x + 3) = 1

lo g_{10} (x) = 1.62

lo g_{3} (x) lo g_{9} (x) = 1

ln (x) + 2 ln (2) = 2

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