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Log 4 (23)

Log 4 (23) is the logarithm of 23 to the base 4:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log4 (23) = 2.2617809780285.

Calculate Log Base 4 of 23

To solve the equation log 4 (23) = 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 = 23, a = 4:
    log 4 (23) = log(23) / log(4)
  3. Evaluate the term:
    log(23) / log(4)
    = 1.39794000867204 / 1.92427928606188
    = 2.2617809780285
    = Logarithm of 23 with base 4
Here’s the logarithm of 4 to the base 23.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 4 2.2617809780285 = 23
  • 4 2.2617809780285 = 23 is the exponential form of log4 (23)
  • 4 is the logarithm base of log4 (23)
  • 23 is the argument of log4 (23)
  • 2.2617809780285 is the exponent or power of 4 2.2617809780285 = 23
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log4 23?

Log4 (23) = 2.2617809780285.

How do you find the value of log 423?

Carry out the change of base logarithm operation.

What does log 4 23 mean?

It means the logarithm of 23 with base 4.

How do you solve log base 4 23?

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

What is the log base 4 of 23?

The value is 2.2617809780285.

How do you write log 4 23 in exponential form?

In exponential form is 4 2.2617809780285 = 23.

What is log4 (23) equal to?

log base 4 of 23 = 2.2617809780285.
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 4 of 23 = 2.2617809780285.

You now know everything about the logarithm with base 4, argument 23 and exponent 2.2617809780285.
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 Log4 (23).

Table

Our quick conversion table is easy to use:
log 4(x) Value
log 4(22.5)=2.2459265481648
log 4(22.51)=2.2462470758397
log 4(22.52)=2.2465674611528
log 4(22.53)=2.2468877042304
log 4(22.54)=2.2472078051987
log 4(22.55)=2.247527764184
log 4(22.56)=2.247847581312
log 4(22.57)=2.2481672567086
log 4(22.58)=2.2484867904991
log 4(22.59)=2.2488061828092
log 4(22.6)=2.2491254337639
log 4(22.61)=2.2494445434884
log 4(22.62)=2.2497635121075
log 4(22.63)=2.2500823397461
log 4(22.64)=2.2504010265286
log 4(22.65)=2.2507195725794
log 4(22.66)=2.2510379780229
log 4(22.67)=2.251356242983
log 4(22.68)=2.2516743675838
log 4(22.69)=2.2519923519488
log 4(22.7)=2.2523101962018
log 4(22.71)=2.2526279004661
log 4(22.72)=2.252945464865
log 4(22.73)=2.2532628895216
log 4(22.74)=2.2535801745588
log 4(22.75)=2.2538973200993
log 4(22.76)=2.2542143262659
log 4(22.77)=2.2545311931809
log 4(22.78)=2.2548479209667
log 4(22.79)=2.2551645097453
log 4(22.8)=2.2554809596387
log 4(22.81)=2.2557972707687
log 4(22.82)=2.256113443257
log 4(22.83)=2.256429477225
log 4(22.84)=2.2567453727941
log 4(22.85)=2.2570611300854
log 4(22.86)=2.2573767492199
log 4(22.87)=2.2576922303185
log 4(22.88)=2.2580075735018
log 4(22.89)=2.2583227788905
log 4(22.9)=2.2586378466048
log 4(22.91)=2.258952776765
log 4(22.92)=2.2592675694911
log 4(22.93)=2.259582224903
log 4(22.94)=2.2598967431206
log 4(22.95)=2.2602111242632
log 4(22.96)=2.2605253684505
log 4(22.97)=2.2608394758016
log 4(22.98)=2.2611534464357
log 4(22.99)=2.2614672804717
log 4(23)=2.2617809780285
log 4(23.01)=2.2620945392247
log 4(23.02)=2.2624079641788
log 4(23.03)=2.2627212530091
log 4(23.04)=2.2630344058338
log 4(23.05)=2.263347422771
log 4(23.06)=2.2636603039385
log 4(23.07)=2.2639730494541
log 4(23.08)=2.2642856594354
log 4(23.09)=2.2645981339997
log 4(23.1)=2.2649104732644
log 4(23.11)=2.2652226773465
log 4(23.12)=2.265534746363
log 4(23.13)=2.2658466804307
log 4(23.14)=2.2661584796664
log 4(23.15)=2.2664701441864
log 4(23.16)=2.2667816741073
log 4(23.17)=2.2670930695451
log 4(23.18)=2.2674043306159
log 4(23.19)=2.2677154574356
log 4(23.2)=2.2680264501201
log 4(23.21)=2.2683373087849
log 4(23.22)=2.2686480335454
log 4(23.23)=2.268958624517
log 4(23.24)=2.2692690818149
log 4(23.25)=2.269579405554
log 4(23.26)=2.2698895958493
log 4(23.27)=2.2701996528153
log 4(23.28)=2.2705095765668
log 4(23.29)=2.2708193672181
log 4(23.3)=2.2711290248835
log 4(23.31)=2.2714385496771
log 4(23.32)=2.2717479417129
log 4(23.33)=2.2720572011047
log 4(23.34)=2.2723663279663
log 4(23.35)=2.2726753224112
log 4(23.36)=2.2729841845527
log 4(23.37)=2.2732929145041
log 4(23.38)=2.2736015123785
log 4(23.39)=2.2739099782889
log 4(23.4)=2.274218312348
log 4(23.41)=2.2745265146686
log 4(23.42)=2.2748345853632
log 4(23.43)=2.2751425245442
log 4(23.44)=2.2754503323238
log 4(23.45)=2.275758008814
log 4(23.46)=2.2760655541269
log 4(23.47)=2.2763729683742
log 4(23.48)=2.2766802516677
log 4(23.49)=2.2769874041187
log 4(23.5)=2.2772944258388

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