3. Logarithmic and Exponential Functions

3.01 Rational exponents

3.02 Exponential functions

3.03 Applications of exponential functions

The number e (investigation)

3.04 The natural exponent

3.05 Logarithms

3.06 Logarithm laws and change of base

3.07 Logarithmic equations

3.08 Exponential equations

3.09 Graphs of logarithmic functions

3.10 Applications of logarithms and exponential functions

3.11 The natural logarithm

Standard Level

3.06 Logarithm laws and change of base

Interactive practice questions

Evaluate $\log_{10}\left(10^{\sqrt{5}}\right)$log10(10√5).

Easy

1min

Evaluate $\log_{10}10^{\frac{5}{4}}$log101054.

Easy

< 1min

Evaluate $\log_{10}2+\log_{10}5$log102+log105.

Easy

< 1min

Consider the expression $2\log_63+\frac{1}{3}\log_664$2log63+13log664.

Easy

1min

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