What is the answer to 5ln(x+3)=21 ?

The answer to 5ln(x+3)=21 is x=e^{21/5}-3

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5ln(x+3)=21

5 ln (x + 3) = 21

x = e^{\frac{21}{5}} - 3

Decimal Notation

x = 63.68633 \dots

Solution steps

5 ln (x + 3) = 21

Divide both sides by

5

ln (x + 3) = \frac{21}{5}

Apply log rules

x + 3 = e^{\frac{21}{5}}

Solve

x + 3 = e^{\frac{21}{5}} : x = e^{\frac{21}{5}} - 3

x = e^{\frac{21}{5}} - 3

Verify Solutions:

x = e^{\frac{21}{5}} - 3

True

The solution is

x = e^{\frac{21}{5}} - 3

lo g_{10} (x - 5) = 1

lo g_{5} (x - 6) = 4

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

ln (- 1 + c) = ln (2)

x, ln (x + 3) - ln (x + 2) = 4