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  1. Home
  2. 12th grade
  3. Precalculus
  4. Exercise : Convert between a difference of logarithms and a quotient

Convert between a difference of logarithms and a quotient Precalculus

Change the following logarithmic expressions.

\log_2\left(3x\right)-\log_2\left(6x\right)

\log_3\left(9x^{2}\right)-\log_3\left(3x^{2}\right)

\log_5\left(\sqrt[3]{625 m^{2}}\right)-\log_5\left(\sqrt[3]{25 m^{2}}\right)

\ln\left(x^{2}\right)-\ln\left(ex^{2}\right)

\log_2\left(\dfrac{8}{7}\right)

\ln\left(\dfrac{3}{e^{2}}\right)

\log\left(\dfrac{\sqrt[4]{100}}{7}\right)

See also
  • Course : Logarithmic functions
  • Exercise : Determine the domain and range of logarithms from equations of functions
  • Exercise : Match logarithmic functions and graphs
  • Exercise : Convert between a sum of logarithms and a product
  • Exercise : Convert between a multi-term sum of logarithms and a power
  • Exercise : Change the base of a logarithm
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