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Log 164 (5)

Log 164 (5) is the logarithm of 5 to the base 164:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log164 (5) = 0.31558432661162.

Calculate Log Base 164 of 5

To solve the equation log 164 (5) = x carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = 10:
    log a (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 5, a = 164:
    log 164 (5) = log(5) / log(164)
  3. Evaluate the term:
    log(5) / log(164)
    = 1.39794000867204 / 1.92427928606188
    = 0.31558432661162
    = Logarithm of 5 with base 164
Here’s the logarithm of 164 to the base 5.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 164 0.31558432661162 = 5
  • 164 0.31558432661162 = 5 is the exponential form of log164 (5)
  • 164 is the logarithm base of log164 (5)
  • 5 is the argument of log164 (5)
  • 0.31558432661162 is the exponent or power of 164 0.31558432661162 = 5
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log164 5?

Log164 (5) = 0.31558432661162.

How do you find the value of log 1645?

Carry out the change of base logarithm operation.

What does log 164 5 mean?

It means the logarithm of 5 with base 164.

How do you solve log base 164 5?

Apply the change of base rule, substitute the variables, and evaluate the term.

What is the log base 164 of 5?

The value is 0.31558432661162.

How do you write log 164 5 in exponential form?

In exponential form is 164 0.31558432661162 = 5.

What is log164 (5) equal to?

log base 164 of 5 = 0.31558432661162.

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 base 164 of 5 = 0.31558432661162.

You now know everything about the logarithm with base 164, argument 5 and exponent 0.31558432661162.
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.
Thanks for visiting Log164 (5).

Table

Our quick conversion table is easy to use:
log 164(x) Value
log 164(4.5)=0.29492486088856
log 164(4.51)=0.29536011870751
log 164(4.52)=0.29579441249949
log 164(4.53)=0.29622774652541
log 164(4.54)=0.29666012501797
log 164(4.55)=0.29709155218194
log 164(4.56)=0.29752203219441
log 164(4.57)=0.297951569205
log 164(4.58)=0.29838016733613
log 164(4.59)=0.29880783068324
log 164(4.6)=0.29923456331505
log 164(4.61)=0.29966036927374
log 164(4.62)=0.30008525257525
log 164(4.63)=0.30050921720944
log 164(4.64)=0.30093226714036
log 164(4.65)=0.30135440630647
log 164(4.66)=0.30177563862083
log 164(4.67)=0.30219596797133
log 164(4.68)=0.30261539822093
log 164(4.69)=0.30303393320784
log 164(4.7)=0.30345157674576
log 164(4.71)=0.30386833262405
log 164(4.72)=0.30428420460799
log 164(4.73)=0.30469919643892
log 164(4.74)=0.30511331183449
log 164(4.75)=0.30552655448886
log 164(4.76)=0.30593892807287
log 164(4.77)=0.30635043623423
log 164(4.78)=0.30676108259777
log 164(4.79)=0.30717087076556
log 164(4.8)=0.30757980431716
log 164(4.81)=0.30798788680977
log 164(4.82)=0.30839512177842
log 164(4.83)=0.30880151273616
log 164(4.84)=0.30920706317426
log 164(4.85)=0.30961177656236
log 164(4.86)=0.31001565634866
log 164(4.87)=0.31041870596009
log 164(4.88)=0.31082092880251
log 164(4.89)=0.31122232826085
log 164(4.9)=0.31162290769929
log 164(4.91)=0.31202267046145
log 164(4.92)=0.31242161987054
log 164(4.93)=0.3128197592295
log 164(4.94)=0.31321709182123
log 164(4.95)=0.31361362090869
log 164(4.96)=0.31400934973508
log 164(4.97)=0.31440428152402
log 164(4.98)=0.31479841947968
log 164(4.99)=0.31519176678696
log 164(5)=0.31558432661162
log 164(5.01)=0.31597610210044
log 164(5.02)=0.31636709638138
log 164(5.03)=0.31675731256374
log 164(5.04)=0.31714675373828
log 164(5.05)=0.31753542297737
log 164(5.06)=0.31792332333518
log 164(5.07)=0.31831045784775
log 164(5.08)=0.3186968295332
log 164(5.09)=0.31908244139184
log 164(5.1)=0.31946729640631
log 164(5.11)=0.31985139754171
log 164(5.12)=0.32023474774577
log 164(5.13)=0.32061734994896
log 164(5.14)=0.32099920706463
log 164(5.15)=0.32138032198912
log 164(5.16)=0.32176069760195
log 164(5.17)=0.32214033676589
log 164(5.18)=0.32251924232712
log 164(5.19)=0.32289741711536
log 164(5.2)=0.32327486394399
log 164(5.21)=0.32365158561015
log 164(5.22)=0.32402758489492
log 164(5.23)=0.32440286456339
log 164(5.24)=0.32477742736482
log 164(5.25)=0.32515127603273
log 164(5.26)=0.32552441328505
log 164(5.27)=0.32589684182422
log 164(5.28)=0.32626856433729
log 164(5.29)=0.32663958349609
log 164(5.3)=0.32700990195729
log 164(5.31)=0.32737952236254
log 164(5.32)=0.32774844733858
log 164(5.33)=0.32811667949736
log 164(5.34)=0.32848422143613
log 164(5.35)=0.32885107573757
log 164(5.36)=0.32921724496989
log 164(5.37)=0.32958273168693
log 164(5.38)=0.32994753842829
log 164(5.39)=0.33031166771942
log 164(5.4)=0.33067512207172
log 164(5.41)=0.33103790398265
log 164(5.42)=0.33140001593583
log 164(5.43)=0.33176146040117
log 164(5.44)=0.33212223983491
log 164(5.45)=0.33248235667979
log 164(5.46)=0.3328418133651
log 164(5.47)=0.33320061230679
log 164(5.48)=0.33355875590759
log 164(5.49)=0.33391624655706
log 164(5.5)=0.33427308663175
log 164(5.51)=0.33462927849522

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