Log Table [1 To 100] PDF | Logarithm Table

Download Full PDF of 1 to 100 Logarithm Table Chart Updated List

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HI, students are studying in school or colleges then you must have heard about logarithm and log table which are commonly used in subject like physics chemistry math’s and also these log value are very important.

Many students find it difficult to use log tables, and at the same time remembering their value is as difficult as climbing a mountain.

That’s why today we have brought Log Table for you in PDF format, also you can learn to use it with the help of online videos. I suggest you to take a print out of this table so that you do not have trouble remembering it.

we have listed 1 to 100 Log Table from the below section where you can easily learn this valuable table.

How To Use Log Table Chart

Step 1: First of all, understand the concept of logarithms. Log base 10 is most commonly used in logarithms.

step 2: For example, if you want to find the value of log10 (13.45 ) then first of all you identify this number by separating the characteristic part and the mantissa part.

Characteristic Part = 13

Mantissa part = 45

step 3: Now look at the common log table. Now you check column number 4 by using row number 13. Whose value will be 1271.

step 4: Now use logarithm table with time interval, look at mean difference column no. 5 and row no. 13 you will get the corresponding value 16.

Now add the values obtained from both step 3 and step 4 whose value is 1271+16=1287

step 5: Now find the characteristics part because the number 13 is between 10 and 100 so the characteristic part should be 1.

Step 6: Finally combine both the characteristic part and the mantissa part, it becomes 1.1287.

log10 (13.45 ) = 1.1287 ^_Answer

log₁₀ Table [1 To 100]

log1=0.0
log2=0.30102999566398114
log3=0.47712125471966244
log4=0.6020599913279623
log5=0.6989700043360187
log6=0.7781512503836435
log7=0.8450980400142567
log8=0.9030899869919434
log9=0.9542425094393249
log10=1.0
log11=1.041392685158225
log12=1.0791812460476247
log13=1.1139433523068367
log14=1.1461280356782377
log15=1.1760912590556811
log16=1.2041199826559246
log17=1.2304489213782739
log18=1.2552725051033058
log19=1.2787536009528289
log20=1.301029995663981
log21=1.322219294733919
log22=1.3424226808222062
log23=1.3617278360175928
log24=1.380211241711606
log25=1.3979400086720375
log26=1.414973347970818
log27=1.4313637641589871
log28=1.447158031342219
log29=1.462397997898956
log30=1.4771212547196624
log31=1.4913616938342726
log32=1.5051499783199058
log33=1.5185139398778873
log34=1.5314789170422551
log35=1.5440680443502754
log36=1.556302500767287
log37=1.5682017240669948
log38=1.57978359661681
log39=1.591064607026499
log40=1.6020599913279623
log41=1.6127838567197355
log42=1.6232492903979003
log43=1.6334684555795864
log44=1.6434526764861872
log45=1.6532125137753435
log46=1.6627578316815739
log47=1.6720978579357173
log48=1.6812412373755872
log49=1.6901960800285134
log50=1.6989700043360185
log51=1.7075701760979363
log52=1.716003343634799
log53=1.724275869600789
log54=1.7323937598229684
log55=1.7403626894942439
log56=1.7481880270062005
log57=1.7558748556724912
log58=1.7634279935629371
log59=1.7708520116421442
log60=1.7781512503836434
log61=1.785329835010767
log62=1.7923916894982537
log63=1.7993405494535815
log64=1.8061799739838869
log65=1.8129133566428552
log66=1.8195439355418683
log67=1.8260748027008262
log68=1.8325089127062362
log69=1.8388490907372552
log70=1.845098040014257
log71=1.851258348719075
log72=1.8573324964312683
log73=1.8633228601204557
log74=1.8692317197309762
log75=1.8750612633916997
log76=1.8808135922807911
log77=1.8864907251724818
log78=1.8920946026904801
log79=1.8976270912904412
log80=1.9030899869919433
log81=1.9084850188786497
log82=1.9138138523837167
log83=1.919078092376074
log84=1.9242792860618814
log85=1.9294189257142926
log86=1.9344984512435675
log87=1.9395192526186182
log88=1.9444826721501687
log89=1.9493900066449126
log90=1.9542425094393248
log91=1.9590413923210932
log92=1.9637878273455551
log93=1.968482948553935
log94=1.9731278535996983
log95=1.9777236052888476
log96=1.9822712330395682
log97=1.9867717342662448
log98=1.9912260756924949
log99=1.9956351945975497
log100=2.0

Important Types of Log and Definition

Natural logarithm log_ex : log with base e is called natural log where the value of e is 2.718.

Common logarithm log_ex : log with base 10 is called Common logarithm has many applications in Science and Engineering.

Binary Logarithm log2x: The binary logarithm uses base 2 (that is b = 2) and is commonly used in Computer Science.

Properties of Logarithm

Logarithms are the opposite phenomena of exponential like subtraction is the inverse of addition process, and division is the opposite phenomena of multiplication. Logs “undo” exponentials.

1. log_x(ab) = log_xa+ log_xb [Product Rule]
2. log_x(a/b) = log_xa – log_xb [Quotients Rule]
3. log_a x = log_b x * log_a b
4. log_b x = log_a x * log_a b
5. log_b xⁿ = n log_b x [Power Rule]

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