What is the answer to 20+6ln(x-2)=36 ?

The answer to 20+6ln(x-2)=36 is x=e^{8/3}+2

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20+6ln(x-2)=36

20 + 6 ln (x - 2) = 36

x = e^{\frac{8}{3}} + 2

Decimal Notation

x = 16.39191 \dots

Solution steps

20 + 6 ln (x - 2) = 36

Move

20

to the right side

6 ln (x - 2) = 16

Divide both sides by

6

ln (x - 2) = \frac{8}{3}

Apply log rules

x - 2 = e^{\frac{8}{3}}

Solve

x - 2 = e^{\frac{8}{3}} : x = e^{\frac{8}{3}} + 2

x = e^{\frac{8}{3}} + 2

Verify Solutions:

x = e^{\frac{8}{3}} + 2

True

The solution is

x = e^{\frac{8}{3}} + 2

lo g_{10} (x) = 13.7

155 = 40 lo g_{10} (500 t + 1)

ln (x) = 2 + ln (3)

64 n \cdot lo g_{2} (n) = 8 n^{2}

0 = ln (4 x)

What is the answer to 20+6ln(x-2)=36 ?
The answer to 20+6ln(x-2)=36 is x=e^{8/3}+2
Solve for x: 20+6ln(x-2)=36
The solution is x=e^{8/3}+2