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Log(10)

Log (10) is the decimal logarithm of 10:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log(10) = 1.

Calculate Log 10

To solve the equation log (10) = x using a base distinct from 10 carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = e:
    log a (x) = ln(x) / ln(a)
  2. Substitute the variables:
    With x = 10, a = 10:
    log (10) = ln(10) / ln(10)
  3. Evaluate the term:
    ln(10) / ln(10)
    = 8.74113642290101 / 2.30258509299405
    = 1
    = Decimal logarithm of 10

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 10 1 = 10
  • 10 1 = 10 is the exponential form of log(10)
  • 10 is the logarithm base of log(10)
  • 10 is the argument of log(10)
  • 1 is the exponent or power of 10 1 = 10
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

Log(10) = 1.
Carry out the change of base logarithm operation.
It means the logarithm of 10 with base 10.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 1.
In exponential form is 10 1 = 10.
Decimal log of 10 = 1.

For further questions about the logarithm equation, common logarithms, the exponential function or the exponential equation fill in the form at the bottom.

Summary

In conclusion, log 10 = 1.

You now know everything about the decimal logarithm with argument 10 and exponent 1.
Further information, particularly about the binary logarithm, natural logarithm and decadic logarithm can be located in our article logarithm.

Besides the types of logarithms, there, we also shed a light on the terms on the properties of logarithms and the logarithm function, just to name a few.

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Table

Our quick conversion table is easy to use:
log(x) Value
log(9.5)=0.97772360528885
log(9.51)=0.97818051693741
log(9.52)=0.97863694838447
log(9.53)=0.97909290063833
log(9.54)=0.9795483747041
log(9.55)=0.98000337158375
log(9.56)=0.9804578922761
log(9.57)=0.98091193777684
log(9.58)=0.98136550907854
log(9.59)=0.98181860717066
log(9.6)=0.98227123303957
log(9.61)=0.98272338766855
log(9.62)=0.98317507203781
log(9.63)=0.98362628712453
log(9.64)=0.98407703390283
log(9.65)=0.98452731334379
log(9.66)=0.98497712641549
log(9.67)=0.985426474083
log(9.68)=0.98587535730839
log(9.69)=0.98632377705077
log(9.7)=0.98677173426624
log(9.71)=0.987219229908
log(9.72)=0.98766626492627
log(9.73)=0.98811284026835
log(9.74)=0.98855895687862
log(9.75)=0.98900461569854
log(9.76)=0.98944981766669
log(9.77)=0.98989456371877
log(9.78)=0.9903388547876
log(9.79)=0.99078269180314
log(9.8)=0.99122607569249
log(9.81)=0.99166900737995
log(9.82)=0.99211148778695
log(9.83)=0.99255351783214
log(9.84)=0.99299509843134
log(9.85)=0.99343623049761
log(9.86)=0.99387691494121
log(9.87)=0.99431715266964
log(9.88)=0.99475694458763
log(9.89)=0.99519629159718
log(9.9)=0.99563519459755
log(9.91)=0.99607365448527
log(9.92)=0.99651167215418
log(9.93)=0.99694924849538
log(9.94)=0.99738638439731
log(9.95)=0.99782308074573
log(9.96)=0.9982593384237
log(9.97)=0.99869515831166
log(9.98)=0.99913054128737
log(9.99)=0.99956548822598
log(10)=1
log(10.01)=1.0004340774793
log(10.02)=1.0008677215312
log(10.03)=1.0013009330204
log(10.04)=1.001733712809
log(10.05)=1.0021660617565
log(10.06)=1.0025979807199
log(10.07)=1.0030294705536
log(10.08)=1.0034605321095
log(10.09)=1.0038911662369
log(10.1)=1.0043213737826
log(10.11)=1.004751155591
log(10.12)=1.0051805125038
log(10.13)=1.0056094453603
log(10.14)=1.0060379549973
log(10.15)=1.0064660422492
log(10.16)=1.0068937079479
log(10.17)=1.0073209529227
log(10.18)=1.0077477780007
log(10.19)=1.0081741840064
log(10.2)=1.0086001717619
log(10.21)=1.0090257420869
log(10.22)=1.0094508957987
log(10.23)=1.0098756337122
log(10.24)=1.0102999566398
log(10.25)=1.0107238653918
log(10.26)=1.0111473607758
log(10.27)=1.0115704435973
log(10.28)=1.0119931146593
log(10.29)=1.0124153747624
log(10.3)=1.0128372247052
log(10.31)=1.0132586652835
log(10.32)=1.0136796972912
log(10.33)=1.0141003215196
log(10.34)=1.0145205387579
log(10.35)=1.0149403497929
log(10.36)=1.0153597554092
log(10.37)=1.015778756389
log(10.38)=1.0161973535124
log(10.39)=1.0166155475572
log(10.4)=1.0170333392988
log(10.41)=1.0174507295105
log(10.42)=1.0178677189635
log(10.43)=1.0182843084265
log(10.44)=1.0187004986662
log(10.45)=1.0191162904471
log(10.46)=1.0195316845313
log(10.47)=1.0199466816788
log(10.48)=1.0203612826477
log(10.49)=1.0207754881936
log(10.5)=1.0211892990699
log(10.51)=1.0216027160282

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