Common logarithms

Common logarithms

Basic Concepts:What is a logarithm?, Converting from logarithmic form to exponential form, Evaluating logarithms without a calculator,
Basic Concepts:Logarithmic scale: Richter scale (earthquake), Logarithmic scale: pH scale, Logarithmic scale: dB scale,

Lessons

  • 1.
    What is ‘‘ `` common logarithms"?"?

    Evaluate log⁡100 \log100
    a)
    by converting to exponential form.

    b)
    by using the LOG key on a calculator.

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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 (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
6.14
Exponents: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
6.15
Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
6.16
Exponents: Negative exponents
6.17
Exponents: Zero exponent: a0=1 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
Precalculus
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