# Is it true that a logarithmic function always maps a geometric progression to an arithmetic one?

• Is it true that a logarithmic function always maps a geometric progression to an arithmetic one?

The relation that the logarithm provides between a geometric progression in its ... function or logarithmic function ... the logarithmic (or log) map.
Positive: 50 %
Yes (but sometimes no). log(a*r^n) = log(a) + n*log(r) and so a geometric progression becomes an arithmetic one. However, an=0 for all n is a geometric ...
Positive: 47 %

### More resources

Logarithmic Functions. ... A geometric progression is a sequence of numbers where the previous term is multiplied by a ... arithmetic, geometric ...
Positive: 50 %
... our sense of aging follows an arithmetic progression ... A consequence of the logarithmic function ... Only one publication introducing a logarithmic ...
Positive: 45 %
Common logarithms. ... Logarithms replace a geometric series with an arithmetic series. ... Logarithmic and exponential functions.