Logarithmic equation

Question

Convert a logarithmic equation: 8^x =2401

Answer 1

8^x =2401

 

ln(8^x) = ln(2401)                      [ln = natural log = log_e]

 

xln(8) = ln(2401)                      [ln(8^x) = xln(8)]

 

x = ln(2401)/ln(8) ≅ 3.7431