What is the answer to ln(x)=ln(x+6)-ln(2) ?

The answer to ln(x)=ln(x+6)-ln(2) is x=6

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ln(x)=ln(x+6)-ln(2)

ln (x) = ln (x + 6) - ln (2)

x = 6

Solution steps

ln (x) = ln (x + 6) - ln (2)

Add

ln (2)

to both sides

ln (x) + ln (2) = ln (x + 6) - ln (2) + ln (2)

Simplify

ln (x) + ln (2) = ln (x + 6)

Apply log rules

x \cdot 2 = x + 6

Solve

x \cdot 2 = x + 6 : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

ln (x) = - 8

x, f y = lo g_{9} (x)

lo g_{2} (6 - 2 x) = 4

x, lo g_{10} (- 2 x) = y

lo g_{10} (x) + lo g_{10} (x + 4) = 7

What is the answer to ln(x)=ln(x+6)-ln(2) ?
The answer to ln(x)=ln(x+6)-ln(2) is x=6
Solve for x: ln(x)=ln(x+6)-ln(2)
The solution is x=6