What is the answer to ln(x+1)-ln(2)=ln(x) ?

The answer to ln(x+1)-ln(2)=ln(x) is x=1

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ln(x+1)-ln(2)=ln(x)

ln (x + 1) - ln (2) = ln (x)

x = 1

Solution steps

ln (x + 1) - ln (2) = ln (x)

Add

ln (2)

to both sides

ln (x + 1) - ln (2) + ln (2) = ln (x) + ln (2)

Simplify

ln (x + 1) = ln (x) + ln (2)

Apply log rules

x + 1 = x \cdot 2

Solve

x + 1 = x \cdot 2 : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

lo g_{2} (n) = 60

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

ln (3) + ln (x + 1) = - 1

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

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

What is the answer to ln(x+1)-ln(2)=ln(x) ?
The answer to ln(x+1)-ln(2)=ln(x) is x=1
Solve for x: ln(x+1)-ln(2)=ln(x)
The solution is x=1