How to find the exact solution to a logarithmic equation

Question

part A. 3+2x=11 part B. lne^3+2logx=11 how do I find the exact solutions for both parts?

Answer 1

Part a:  3 + 2x = 11; 2x = 8;  x = 4

Part b:  ln(e)³ + 2 log(x) = 11;  ln(e)³ = 3*ln(e) = 3*1 = 3;  3 + 2 log(x) = 11;  

2 log(x) = 8; log(x) = 4;  therefore x = 10⁴ = 10,000