Logarithmic functions are very important in real life. Have experience in electrical engineering I have seen application. The most common application is in things that use are range of hearing. sound is often measured in decibels. the decibel scale is a logarithmic scale and in audio electronics we often have to consider this when producing things such audio amplifiers especially when there is a volume knob. If we allow the volume to be changed at a logarithmic rate with the turning of the knob is often more effective and more natural to our ears.