What is the answer to 4ln(x-7)=-8 ?

The answer to 4ln(x-7)=-8 is x= 1/(e^2)+7

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4ln(x-7)=-8

4 ln (x - 7) = - 8

x = \frac{1}{e ^{2}} + 7

Solution steps

4 ln (x - 7) = - 8

Divide both sides by

4

ln (x - 7) = - 2

Apply log rules

x - 7 = \frac{1}{e ^{2}}

Solve

x - 7 = \frac{1}{e ^{2}} : x = \frac{1}{e ^{2}} + 7

x = \frac{1}{e ^{2}} + 7

Verify Solutions:

x = \frac{1}{e ^{2}} + 7

True

The solution is

x = \frac{1}{e ^{2}} + 7

x, ln (x - y) = - 0.5

ln (x) + ln (4 x) = 5

ln (x) + ln (4 x) = 6

ln (3 x) - 10 = - 8

ln (x) = ln (5) + ln (x - 7)