Lesson Worksheet: Logarithms and Logarithmic Functions Mathematics

In this worksheet, we will practice evaluating logarithmic functions and representing them graphically.

Q1:

Express 243=3 in its equivalent logarithmic form.

  • Alog3=15
  • Blog15=243
  • Clog3=243
  • Dlog3=2435
  • E3=15

Q2:

Express 10=1000 in its equivalent logarithmic form.

  • Alog1000=3
  • Blog3=1000
  • C1000=10
  • Dlog1000=10
  • Elog1000=30

Q3:

Express (0.7)=0.343 in its equivalent logarithmic form.

  • A0.343=3
  • Blog0.343=3
  • Clog0.343=0.7
  • Dlog0.7=3
  • Elog0.343=2.1

Q4:

Express 4=116 in its equivalent logarithmic form.

  • A116=4
  • Blog116=4
  • Clog4=2
  • Dlog116=8
  • Elog116=2

Q5:

Express log1000000=6 in its equivalent exponential form.

  • A6=1000000
  • B10=1000000
  • Clog1000000=60
  • D1000000=10

Q6:

Express log136=2 in its equivalent exponential form.

  • A(2)=36
  • Blog136=12
  • C136=2
  • D(2)=136
  • E6=136

Q7:

Express log4=2 in its equivalent exponential form.

  • A4=2
  • B2=4
  • C2=4
  • Dlog4=4

Q8:

Express 4=1 in logarithmic form.

  • Alog4=1
  • Blog0=1
  • Clog1=0
  • Dlog4=0

Q9:

What is the value of log1128?

Q10:

Express 97=8149 in its equivalent logarithmic form.

  • Alog8149=97
  • Blog97=2
  • Clog8149=187
  • Dlog8149=2

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