solve the equation

2ln(x+5)-1=7

2ln(x+5)-1=7

2ln(x+5)=7+1

2ln(x+5)=8 Divide with 2

ln(x+5)=8/2=4

x+5=e^4

Where:

e=2.7182818284590452353602874713527
base of natural logarithm

x+5=e^4=(2.7182818284590452353602874713527)^4

x+5=54.598150033144239078110261202861

x=54.598150033144239078110261202861-5

x=49.598150033144239078110261202861