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- Exponential and Logarithmic functions

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 1a1:45
- Lesson: 1b2:31
- Lesson: 1c1:57
- Lesson: 1d5:22
- Lesson: 1e1:54
- Lesson: 1f2:01
- Lesson: 2a5:27
- Lesson: 2b0:30
- Lesson: 34:14
- Lesson: 45:04

Related Concepts: Logarithmic scale: Richter scale (earthquake), Logarithmic scale: pH scale, Logarithmic scale: dB scale

- 1.Evaluate:a)$\log_832$b)$\log_51$[useful rule: $\log_b1 = 0]$c)$\log_55$[useful rule: $\log_bb = 1]$d)-3$\log_{16}1024$e)$\log_3 (\frac{1}{81})$f)$\log_2 {^5}\sqrt{64}$
- 2.
**A Logarithmic Expression As An Exponent**

Evaluate:a)${3^{log_39}}$[useful rule: ${b^{log_ba}} = a]$b)${2^{log_21024}}$ - 3.evaluate:$\log_{25} \sqrt{125}$
- 4.without using a calculator, determine which logarithmic expression has a bigger value:

$\log_220$vs.$\log_380$

6.

Exponential and Logarithmic functions

6.1

Converting from logarithmic form to exponential form

6.2

Evaluating logarithms without calculator

6.3

Common logarithms

6.4

Evaluating logarithms using change-of-base formula

6.5

Converting from exponential form to logarithmic form

6.6

Product rule of logarithms

6.7

Quotient rule of logarithms

6.8

Combining product rule and quotient rule in logarithms

6.9

Solving logarithmic equations

6.10

Evaluating logarithms using logarithm rules

6.11

Continuous growth and decay

6.12

Finance: Compound interest

6.13

Exponents: Product rule $(a^x)(a^y)=a^{(x+y)}$

6.14

Exponents: Division rule ${a^x \over a^y}=a^{(x-y)}$

6.15

Exponents: Power rule $(a^x)^y = a^{(x\cdot y)}$

6.16

Exponents: Negative exponents

6.17

Exponents: Zero exponent: $a^0 = 1$

6.18

Exponents: Rational exponents

6.19

Graphing exponential functions

6.20

Graphing transformations of exponential functions

6.21

Finding an exponential function given its graph

6.22

Logarithmic scale: Richter scale (earthquake)

6.23

Logarithmic scale: pH scale

6.24

Logarithmic scale: dB scale

6.25

Finance: Future value and present value

We have over 830 practice questions in Precalculus for you to master.

Get Started Now6.1

Converting from logarithmic form to exponential form

6.2

Evaluating logarithms without calculator

6.3

Common logarithms

6.4

Evaluating logarithms using change-of-base formula

6.5

Converting from exponential form to logarithmic form

6.6

Product rule of logarithms

6.11

Continuous growth and decay

6.12

Finance: Compound interest

6.13

Exponents: Product rule $(a^x)(a^y)=a^{(x+y)}$

6.14

Exponents: Division rule ${a^x \over a^y}=a^{(x-y)}$

6.15

Exponents: Power rule $(a^x)^y = a^{(x\cdot y)}$

6.16

Exponents: Negative exponents

6.18

Exponents: Rational exponents

6.22

Logarithmic scale: Richter scale (earthquake)

6.23

Logarithmic scale: pH scale

6.24

Logarithmic scale: dB scale

6.25

Finance: Future value and present value