Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Were possible, evaluate logarithmic expressions.
logc t + logc s 1) logc(t/s)
2) logc t · logc s
3) logc(ts)
4) logc (t + s)

Question

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Were possible, evaluate logarithmic expressions.
logc t + logc s  1) logc(t/s) 
 2) logc t · logc s 
 3) logc(ts) 
 4) logc (t + s)

anonymous · Answer

a logarithm is an exponent; they follow the same rules
so log_c(t)+log_c(s)=log_c(ts)