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

The answer to 5+ln(x-5)=2 is x= 1/(e^3)+5

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5+ln(x-5)=2

5 + ln (x - 5) = 2

x = \frac{1}{e ^{3}} + 5

Decimal Notation

x = 5.04978 \dots

Solution steps

5 + ln (x - 5) = 2

Move

5

to the right side

ln (x - 5) = - 3

Apply log rules

x - 5 = \frac{1}{e ^{3}}

Solve

x - 5 = \frac{1}{e ^{3}} : x = \frac{1}{e ^{3}} + 5

x = \frac{1}{e ^{3}} + 5

Verify Solutions:

x = \frac{1}{e ^{3}} + 5

True

The solution is

x = \frac{1}{e ^{3}} + 5

x, 3 x + y + ln (x y) = C

x, ln (x) = 2 t + 4

ln (3 x - 10) = 6

(x) = lo g_{0.5} (x - 2) + 1

lo g_{3} (5 x - 3) = 5