What is the answer to 4+ln(x+2)=2 ?

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

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4+ln(x+2)=2

4 + ln (x + 2) = 2

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

Decimal Notation

x = - 1.86466 \dots

Solution steps

4 + ln (x + 2) = 2

Move

4

to the right side

ln (x + 2) = - 2

Apply log rules

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

4.8 = lo g_{10} (\frac{x}{1450})

ln (x^{2} - 2 x + 8) = 2 ln (x)

ln^{2} (x) = 2

ln^{2} (x) = 3

2 lo g_{5} (2 x + 3) = 2