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- Logarithmic Functions
Solving exponential equations with logarithms
- Lesson: 1a1:52
- Lesson: 1b1:57
- Lesson: 217:21
Solving exponential equations with logarithms
Related Concepts: Logarithmic scale: Richter scale (earthquake), Logarithmic scale: pH scale, Logarithmic scale: dB scale
Lessons
- 1.Solve for x , by converting from exponential form
to log form:a)y=5⋅2xb)6⋅3x=90 - 2.Let's revisit the earlier example about Bianca saving up money to buy her dream car, Mini Cooper.
Now we are ready to find out the exact amount of time it'll take Bianca to save up $30,000:
On Bianca's 5-year-old birthday, Bianca gets a birthday gift of $100 cash from her dad.
Bianca's dad promises to double her money yearly if Bianca plans to not spend the
money but instead deposits it into "daddy-super-saving-account". Will Bianca be able
to afford her dream car, Mini Cooper, worth $30,000 when she turns 16-year-old?
Do better in math today
8.
Logarithmic Functions
8.1
What is a logarithm?
8.2
Converting from logarithmic form to exponential form
8.3
Evaluating logarithms without a calculator
8.4
Common logarithms
8.5
Natural log: ln
8.6
Evaluating logarithms using change-of-base formula
8.7
Converting from exponential form to logarithmic form
8.8
Solving exponential equations with logarithms
8.9
Product rule of logarithms
8.10
Quotient rule of logarithms
8.11
Combining product rule and quotient rule in logarithms
8.12
Evaluating logarithms using logarithm rules
8.13
Solving logarithmic equations
8.14
Graphing logarithmic functions
8.15
Finding a logarithmic function given its graph
Don't just watch, practice makes perfect
Practice topics for Logarithmic Functions
8.1
What is a logarithm?
8.2
Converting from logarithmic form to exponential form
8.3
Evaluating logarithms without a calculator
8.4
Common logarithms
8.5
Natural log: ln
8.6
Evaluating logarithms using change-of-base formula
8.7
Converting from exponential form to logarithmic form
8.8
Solving exponential equations with logarithms
8.9
Product rule of logarithms