Log Laws and Evaluation

What the exams ask here

• evaluate sum of logs
• log18 24 = p find log96 108
• digits in 2^50 given log 2
• log(1+1/k) telescoping sum
• 4^(log2 x) = x^2 identity (2024 SA)
• compare log17 275 with log19 375
• log x/(b-c) = log y/(c-a) = log z/(a-b)
• a^2+4b^2=12ab gives log(a+2b)
• least value of 2log x - log_x(0.01)