5.4 Evaluating logarithms using change-of-base formula

Evaluating logarithms using change-of-base formula

Lessons

Notes:
• change-of-base rule:
logba=logxalogxb=logalogb \log_ba = \frac{\log_xa}{\log_xb} = \frac{\log a}{\log b}

• common logarithms:
log with base 10" ``10"
example: log3=log103 \log3 = \log_{10}3
example: logx=log10x \log x = \log_{10}x
  • 2.
    Using a calculator, evaluate the following logarithms
    by applying `` change-of-base rule":":
  • 3.
    Using a calculator, solve for x x to the nearest hundredth.
Teacher pug

Evaluating logarithms using change-of-base formula

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