15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)
Math and Science
@mathandscienceAbout
Quality Math And Science Videos that feature step-by-step example problems!
Latest Posts
Video Description
More Lessons: http://www.MathAndScience.com Twitter: https://twitter.com/JasonGibsonMath In this lesson, you will learn what a logarithm is and why they are important in all branches of math, science, and engineering. A logarithm is the inverse of the exponential function. This mean that a logarithm can reverse or "undo" the exponential operation. This makes logs very useful for solving equations that have exponential terms. Physically, the logarithm is the reflection of the exponential curve over the 45 degree line y=x in the xy plane. We also learn the definition of the logarithm and how to convert an expression from log form into exponential form and vice versa.
You May Also Like
Upgrade Your iPhone Experience
AI-recommended products based on this video

BASESAILOR iPhone 16 16e Car Charger Adapter 3Pack,USB to USBC Connector Type C Female to A Male Cable Converter for iPhone 15 14 Pro Max Plus,Apple Watch 10,Airpods 4,iPad mini 7,Samsung Galaxy S25

URVNS 240W USB C Car Charger, Super Fast Charging 4-Ports PD3.1 140W/PD3.0 100W PPS 45W QC65W Type-C Car Adapter for MacBook Pro Laptop iPhone 15 14 Max iPad Samsung Galaxy S24/23/22 Pixel etc

UGREEN 130W Car Charger USB C Fast Charger PD3.0 QC4.0 PPS Fast Charging Car Adapter with 100W USB C Cable Compatible with Dell XPS, MacBook, iPhone 16 15 14 Pro Max, Galaxy S25 S24 Ultra, iPad Pro
![VANMASS [85+LBS Strongest Suction & Clip] 2025 Upgrade Car Phone Holder [Patent & Safety Certs] Cell Phone Mount Truck Stand for Dashboard Windshield Vent for iPhone 16 Pro Max 15 14 13 12 Samsung](https://m.media-amazon.com/images/I/71bHSP1cRkL._AC_UL960_FMwebp_QL65_.jpg)
VANMASS [85+LBS Strongest Suction & Clip] 2025 Upgrade Car Phone Holder [Patent & Safety Certs] Cell Phone Mount Truck Stand for Dashboard Windshield Vent for iPhone 16 Pro Max 15 14 13 12 Samsung

Magnetic Wireless Charger for iPhone - 3 in 1 Mag-Safe Charging Station for Multiple Devices Apple - Charger Stand Dock for Apple Watch iPhone 16 15 14 13 12 Pro Max Plus Airpods

4-in-1 Wireless Magnetic Power Bank 10800mAh Portable Charger with iWatch Charger, QC4.0+20W PD Fast Charging USB C Battery Pack for Magsafe, iPhone 16/15/14/13/12 Series, Apple Watch etc. (White)

eazpower for Magsafe Power Bank 10000mAh, Magnetic Battery Pack Wireless, 20W PD Fast Charging, Compact Portable Charger with Built-in Cables and Stand for iPhone 16/15/14/13/12/ Apple Watch/Airpods

soundcore P31i by Anker, Real-Time Adaptive Noise Cancelling, Hi-Res Sound, Translation Earbuds, 50H Playtime, Wireless Earbuds, Bluetooth Earphones, Spatial Audio, Fast Charging, IP55 ClimatePartner certified

soundcore by Anker P20i True Wireless Earbuds, 10mm Drivers with Big Bass, Bluetooth 5.3, 30H Long Playtime, IPX5 Water-Resistant, 2 Mics for AI Clear Calls, 22 Preset EQs, Customization via App

Anker Nano USB C Wall Charger,45W Fast Charging Smart Display Charger,with 180°Foldable Plug,Smart Recognition,Built-in Care Mode,for iPhone17/16/15 (Non-Battery,One USB-C Port,No Cable Included) ClimatePartner certified

soundcore by Anker Q20i Hybrid Active Noise Cancelling Headphones, Wireless Over-Ear Bluetooth, 40H Long ANC Playtime, Hi-Res Audio, Big Bass, Customize via an App, Transparency Mode, Ideal for Travel

Spigen Case for iPhone 15, iPhone 14, and iPhone 13, Ultra Hybrid MagFit Designed for Apple iPhone 15/14/13 - Crystal Clear

Apple iPhone 16 Pro Silicone Case with MagSafe - Ultramarine

JETech Magnetic Case for iPhone 12/12 Pro 6.1-Inch Compatible with MagSafe, Translucent Matte Back Slim Shockproof Phone Cover (Black)

ESR for iPhone 16 Pro Max Case, Compatible with MagSafe, Shockproof Military-Grade Protection, Magnetic Phone Case for iPhone 16 Pro Max, Classic Hybrid Case (HaloLock), Clear

Apple iPhone 16 Pro Max Silicone Case with MagSafe - Star Fruit

Anker 332 USB-C Hub (5-in-1) with 4K HDMI Display, 5Gbps - and 2 5Gbps USB-A Data Ports and for MacBook Pro, MacBook Air, Dell XPS, Lenovo Thinkpad, HP Laptops and More

Apple AirPods Pro 2 Wireless Earbuds, Bluetooth Headphones, Active Noise Cancellation, Transparency, Personalized Spatial Audio, High-Fidelity Sound, H2 Chip, USB-C Charging

3 in 1 Charging Station for iPhone, Wireless Charger for iPhone 16 15 14 13 12 11 X Pro Max & Apple Watch - Charging Stand Dock for AirPods Global Recycled Standard

3 in 1 Charging Station for iPhone, Wireless Charger for iPhone 16 15 14 13 12 11 X Pro Max & Apple Watch - Charging Stand Dock for AirPods (Blue) Global Recycled Standard
![iPhone 16 15 Charger [Apple MFi Certified] 2 Pack USB C Wall Charger Block 6FT USB C to Type C Cable Compatible with iPhone 16 15 Pro Max,16e, AirPods Pr, iPad Pro12.9/11, Samsung/Android Phones](https://m.media-amazon.com/images/I/51GjkZn3ACL._AC_UL960_FMwebp_QL65_.jpg)
iPhone 16 15 Charger [Apple MFi Certified] 2 Pack USB C Wall Charger Block 6FT USB C to Type C Cable Compatible with iPhone 16 15 Pro Max,16e, AirPods Pr, iPad Pro12.9/11, Samsung/Android Phones

2 Pack Magnetic Wireless Charger 15W Fast Mag-Safe Charger Stand Compatible with iPhone 16/15/14/13/12 Series Wireless Charging Pad for AirPods 3/2/Pro 2/Pro White Portable Mag Safe Kickstand

Magnetic Wireless Charger for iPhone - 3 in 1 Mag-Safe Charging Station for Multiple Devices Apple - Charger Stand Dock for Apple Watch iPhone 16 15 14 13 12 Pro Max Plus Airpods

eazpower for Magsafe Power Bank 10000mAh, Magnetic Battery Pack Wireless, 20W PD Fast Charging, Compact Portable Charger with Built-in Cables and Stand for iPhone 16/15/14/13/12/ Apple Watch/Airpods

Wireless Charger, 3 in 1 Charging Station, Fast Charging Station Foldable Charging Stand, Wireless Charging Station for Multiple Devices, Compatible with lPhone 17/16/15/14/13 Pro Max Airpods Watch

BASESAILOR iPhone 16 16e Car Charger Adapter 3Pack,USB to USBC Connector Type C Female to A Male Cable Converter for iPhone 15 14 Pro Max Plus,Apple Watch 10,Airpods 4,iPad mini 7,Samsung Galaxy S25

URVNS 240W USB C Car Charger, Super Fast Charging 4-Ports PD3.1 140W/PD3.0 100W PPS 45W QC65W Type-C Car Adapter for MacBook Pro Laptop iPhone 15 14 Max iPad Samsung Galaxy S24/23/22 Pixel etc

UGREEN 130W Car Charger USB C Fast Charger PD3.0 QC4.0 PPS Fast Charging Car Adapter with 100W USB C Cable Compatible with Dell XPS, MacBook, iPhone 16 15 14 Pro Max, Galaxy S25 S24 Ultra, iPad Pro
![VANMASS [85+LBS Strongest Suction & Clip] 2025 Upgrade Car Phone Holder [Patent & Safety Certs] Cell Phone Mount Truck Stand for Dashboard Windshield Vent for iPhone 16 Pro Max 15 14 13 12 Samsung](https://m.media-amazon.com/images/I/71bHSP1cRkL._AC_UL960_FMwebp_QL65_.jpg)
VANMASS [85+LBS Strongest Suction & Clip] 2025 Upgrade Car Phone Holder [Patent & Safety Certs] Cell Phone Mount Truck Stand for Dashboard Windshield Vent for iPhone 16 Pro Max 15 14 13 12 Samsung

Girl Moments: Coloring Book for Adults and Teens Featuring Cute Cozy Daily Activities for Relaxation

2Pack 10ft iPhone Charger 90 Degree Lightning Cable Right Angle Long USB Charging Cord Compatible with Apple iPhone 14 13 12 11 Pro Max XS XR X 8 7 6 5 Plus iPad iPod

Magnetic Wireless Charger for iPhone: Fodable 3 in 1 Charging Station for Multiple Apple Devices - Travel Charging Pad Dock for Apple Watch iPhone 16 15 14 13 12 Pro Max Plus & Airpod Global Recycled Standard

Magnetic Wireless Charger for iPhone - 3 in 1 Mag-Safe Charging Station for Multiple Devices Apple - Charger Stand Dock for Apple Watch iPhone 16 15 14 13 12 Pro Max Plus Airpods
![iPhone Charger [Apple MFi Certified] 3FT, 3Pack USB A to Lightning Cable Braided Fast Charging Apple Cord Compatible with iPhone 14 13 12 11 Pro Max XS XR X 8 7 6 5 Plus iPad/iPod/AirPods](https://m.media-amazon.com/images/I/71xZOlUELbL._AC_UL960_FMwebp_QL65_.jpg)
iPhone Charger [Apple MFi Certified] 3FT, 3Pack USB A to Lightning Cable Braided Fast Charging Apple Cord Compatible with iPhone 14 13 12 11 Pro Max XS XR X 8 7 6 5 Plus iPad/iPod/AirPods




















