What is the answer to ln(x-7)-ln(3)=2 ?

The answer to ln(x-7)-ln(3)=2 is x=3e^2+7

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ln(x-7)-ln(3)=2

ln (x - 7) - ln (3) = 2

x = 3 e^{2} + 7

Decimal

x = 29.16716 \dots

Solution steps

ln (x - 7) - ln (3) = 2

Move

ln (3)

to the right side

ln (x - 7) = 2 + ln (3)

Apply log rules

x - 7 = 3 e^{2}

Solve

x - 7 = 3 e^{2} : x = 3 e^{2} + 7

x = 3 e^{2} + 7

Verify Solutions:

x = 3 e^{2} + 7

True

The solution is

x = 3 e^{2} + 7

2 ln (x) = 12

2 ln (x) = - 6

lo g_{10} (x) = 3.67

ln (x^{2}) = (ln (x))^{2}

lo g_{3} (2 x + 1) - 2 = 0

What is the answer to ln(x-7)-ln(3)=2 ?
The answer to ln(x-7)-ln(3)=2 is x=3e^2+7
Solve for x: ln(x-7)-ln(3)=2
The solution is x=3e^2+7