ln(x+5)3+12=21

Question

ln(x+5)3+12=21
If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

Answer 1

ln(x+5)³ + 12 = 21

 

Subtract 12 from both sides:

 

ln(x+3)³ = 9

 

Use the identity ln(a^b) = b*ln(a)

 

3 ln(x+3) = 9

 

Divide both sides by 3:

 

ln(x+3) = 9/3 = 3

(x+3) = e³

x = e³ - 3 ≅ 17.09