What is the answer to ln(x-6)-ln(5)=2 ?

The answer to ln(x-6)-ln(5)=2 is x=5e^2+6

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ln(x-6)-ln(5)=2

ln (x - 6) - ln (5) = 2

x = 5 e^{2} + 6

Decimal

x = 42.94528 \dots

Solution steps

ln (x - 6) - ln (5) = 2

Move

ln (5)

to the right side

ln (x - 6) = 2 + ln (5)

Apply log rules

x - 6 = 5 e^{2}

Solve

x - 6 = 5 e^{2} : x = 5 e^{2} + 6

x = 5 e^{2} + 6

Verify Solutions:

x = 5 e^{2} + 6

True

The solution is

x = 5 e^{2} + 6

lo g_{x} (\frac{1}{32}) = - 5

20 lo g_{10} (x) = - 6

lo g_{5} (125 x) = 4

lo g_{2} (6 x + 5) = 3

20 lo g_{10} (x) = 14

What is the answer to ln(x-6)-ln(5)=2 ?
The answer to ln(x-6)-ln(5)=2 is x=5e^2+6
Solve for x: ln(x-6)-ln(5)=2
The solution is x=5e^2+6