Worksheet: Simplifying Natural Logarithmic Expressions

In this worksheet, we will practice simplifying a natural logarithm expression into a single logarithmic term using properties of logarithms.

Q1:

Simplify lnlnln3+2𝑥4.

  • A23𝑥4ln
  • B2𝑥1ln
  • Cln𝑥1
  • Dln3𝑥4
  • Eln43𝑥

Q2:

Simplify 312𝑥2𝑥lnln.

  • Aln𝑥8
  • Bln𝑥8𝑥8
  • C𝑥2ln
  • Dln𝑥8
  • Eln𝑥2

Q3:

Express lnln𝑥+3 as a single logarithm.

  • Aln(3𝑥)
  • B3𝑥ln
  • Cln𝑥
  • Dln𝑥3
  • Eln(𝑥+3)

Q4:

Express lnln𝑥3 as a single logarithm.

  • Aln(3𝑥)
  • Bln𝑥
  • Cln𝑥3
  • Dln(𝑥3)
  • E3𝑥ln

Q5:

Express 13𝑥+2(𝑥3)lnln as a single logarithm.

  • Aln13𝑥(𝑥3)
  • Bln𝑥2(𝑥3)
  • Cln23𝑥(𝑥3)
  • Dln𝑥(𝑥3)
  • Eln𝑥(𝑥3)

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.