What is the logarythym equation 2 plus 3x equals 245?

Answer 1

Do you mean,

2 + 3^x = 245 ??

2 + 3^x = 245

subtract 2 from each side

3^x = 243

use natural logs ( I always do, though you can use logs )

ln(3^x) = ln(243)

you have the right in this operation to bring the exponent before the natural log

x(ln3) = ln(243)

divide

x = ln(243)/ln(3) ( not ln(243/3) !!!! )

x = 5.493061443/1.098612289

x = 5

----------check

2 + 3^5 = 245

2 + 243 = 245

245 = 245

===========checks