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

3.08 Exponential equations

Interactive practice questions

Solve $4^x=4^8$4x=48.

Easy

< 1min

Solve $x^5=3^5$x5=35.

Easy

< 1min

Solve $8^{-7}=x^{-7}$8−7=x−7.

Easy

< 1min

Solve $3^x=3^{\frac{2}{9}}$3x=329.

Easy

< 1min

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