What is the answer to 3ln(x-3)=-6 ?

The answer to 3ln(x-3)=-6 is x= 1/(e^2)+3

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3ln(x-3)=-6

3 ln (x - 3) = - 6

x = \frac{1}{e ^{2}} + 3

Solution steps

3 ln (x - 3) = - 6

Divide both sides by

3

ln (x - 3) = - 2

Apply log rules

x - 3 = \frac{1}{e ^{2}}

Solve

x - 3 = \frac{1}{e ^{2}} : x = \frac{1}{e ^{2}} + 3

x = \frac{1}{e ^{2}} + 3

Verify Solutions:

x = \frac{1}{e ^{2}} + 3

True

The solution is

x = \frac{1}{e ^{2}} + 3

0.63 = 5 lo g_{10} (r) - 5

3 ln (x - 3) = - 3

3 \cdot lo g_{10} (x) = 9

ln (x) = - 15.8742

32 = \frac{lo g _{2} ( t )}{0.05}