What is the answer to 6ln(sqrt(x+2))-3=15 ?

The answer to 6ln(sqrt(x+2))-3=15 is x=e^6-2

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6ln(sqrt(x+2))-3=15

6 ln (x + 2) - 3 = 15

x = e^{6} - 2

Decimal Notation

x = 401.42879 \dots

Solution steps

6 ln (x + 2) - 3 = 15

Move

3

to the right side

6 ln (x + 2) = 18

Divide both sides by

6

ln (x + 2) = 3

Apply log rules

x + 2 = e^{3}

Solve

x + 2 = e^{3} : x = e^{6} - 2

x = e^{6} - 2

Verify Solutions:

x = e^{6} - 2

True

The solution is

x = e^{6} - 2

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

lo g_{t} (25) = 2

lo g_{10} (u) = b

25 = 95 - 25 lo g_{2} (x)

3 lo g_{8} (2 x + 1) = 2

What is the answer to 6ln(sqrt(x+2))-3=15 ?
The answer to 6ln(sqrt(x+2))-3=15 is x=e^6-2
Solve for x: 6ln(sqrt(x+2))-3=15
The solution is x=e^6-2