Solving a natural logarithmic equation using the quadratic formula

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbers/expressions in the logarithms and hence solve for the unknown variable. Note that the logarithms must be of the same base.

If one side of the logarithmic equation have logarithm and the other side does not have logarithm, the equation can be easily evaluated by taking the terms in both sides of the equality sign as exponents of powers with the base of the power corresponding to the base of the term having logarithm. The base of the power cancels out the logarithm and then we can evaluate the unknown variable.

Organized Videos:
✅Solve Logarithmic Equations
✅Solve Natural Logarithmic Equations
✅Solve Logarithmic Equations
✅Solve Logarithmic Equations | Learn About
✅Solve Logarithmic Equations with Multiple Logs
✅Solve Logarithmic Equations with Logs on Both Sides

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#Logarithms #logarithmicfunctions #brianmclogan

[ChavoMysterio]

I could have gotten the same results quicker by completing the square.

[mikehenry]

Sir Logan.... How did the root 4+4e .. become 2 root 1+e....? Please explain..

[susanclarke]

Why are all the 2s being canceled, when there are only 3 twos.

[goldfing]

Just a small hint: it is no good style to write a logarithm without brackets, especially here, where one is written with and one without brackets. This is even more apparent in the video thumbnail, where it reads "lgx" without any space in between. Why not just write
ln(x) + ln(x + 2) = 1
ln(x/(x+2)) = 1
x/(x+2) = e^1 = e
etc.