Free video solution

Exponential and Logarithmic Functions as Inverses

Name: Exponential and Logarithmic Functions as Inverses
Uploaded: 2026-09-28T18:31:38.242Z
Duration: 3 min 30 s
Description: Demonstrate that exponential functions and logarithmic functions are inverses of each other. Use $f(x) = 10^x$ and $g(x) = \log(x)$ (base 10) to verify the inverse relationship algebraically by checking both compositions, and describe the graphical and numerical connections.

Algebra · Algebra — Grade 11

Course: Algebra Book: Algebra — Grade 11

Step-by-step video solution

Watch video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra — Grade 11.

Problem and lesson overview

Demonstrate that exponential functions and logarithmic functions are inverses of each other. Use

f(x) = 10^x

and

g(x) = \log(x)

(base 10) to verify the inverse relationship algebraically by checking both compositions, and describe the graphical and numerical connections.

More Algebra solutions · Browse all video solutions · Read curriculum lessons · How these lessons are created · Get AI homework help or book an online tutor

Exponential and Logarithmic Functions as Inverses

Step-by-step video solution

Problem and lesson overview

Related video solutions