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Log 3 (148)

Log 3 (148) is the logarithm of 148 to the base 3:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (148) = 4.5486586353612.

Calculate Log Base 3 of 148

To solve the equation log 3 (148) = 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 = 148, a = 3:
    log 3 (148) = log(148) / log(3)
  3. Evaluate the term:
    log(148) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.5486586353612
    = Logarithm of 148 with base 3
Here’s the logarithm of 3 to the base 148.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.5486586353612 = 148
  • 3 4.5486586353612 = 148 is the exponential form of log3 (148)
  • 3 is the logarithm base of log3 (148)
  • 148 is the argument of log3 (148)
  • 4.5486586353612 is the exponent or power of 3 4.5486586353612 = 148
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log3 148?

Log3 (148) = 4.5486586353612.

How do you find the value of log 3148?

Carry out the change of base logarithm operation.

What does log 3 148 mean?

It means the logarithm of 148 with base 3.

How do you solve log base 3 148?

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

What is the log base 3 of 148?

The value is 4.5486586353612.

How do you write log 3 148 in exponential form?

In exponential form is 3 4.5486586353612 = 148.

What is log3 (148) equal to?

log base 3 of 148 = 4.5486586353612.
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 3 of 148 = 4.5486586353612.

You now know everything about the logarithm with base 3, argument 148 and exponent 4.5486586353612.
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 Log3 (148).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(147.5)=4.5455782966292
log 3(147.51)=4.5456400056714
log 3(147.52)=4.5457017105303
log 3(147.53)=4.5457634112066
log 3(147.54)=4.5458251077008
log 3(147.55)=4.5458868000135
log 3(147.56)=4.5459484881451
log 3(147.57)=4.5460101720964
log 3(147.58)=4.5460718518679
log 3(147.59)=4.54613352746
log 3(147.6)=4.5461951988735
log 3(147.61)=4.5462568661088
log 3(147.62)=4.5463185291666
log 3(147.63)=4.5463801880473
log 3(147.64)=4.5464418427516
log 3(147.65)=4.54650349328
log 3(147.66)=4.5465651396331
log 3(147.67)=4.5466267818115
log 3(147.68)=4.5466884198157
log 3(147.69)=4.5467500536463
log 3(147.7)=4.5468116833038
log 3(147.71)=4.5468733087889
log 3(147.72)=4.546934930102
log 3(147.73)=4.5469965472438
log 3(147.74)=4.5470581602148
log 3(147.75)=4.5471197690156
log 3(147.76)=4.5471813736467
log 3(147.77)=4.5472429741087
log 3(147.78)=4.5473045704022
log 3(147.79)=4.5473661625277
log 3(147.8)=4.5474277504858
log 3(147.81)=4.5474893342771
log 3(147.82)=4.5475509139021
log 3(147.83)=4.5476124893614
log 3(147.84)=4.5476740606555
log 3(147.85)=4.5477356277851
log 3(147.86)=4.5477971907506
log 3(147.87)=4.5478587495527
log 3(147.88)=4.5479203041919
log 3(147.89)=4.5479818546688
log 3(147.9)=4.5480434009838
log 3(147.91)=4.5481049431377
log 3(147.92)=4.548166481131
log 3(147.93)=4.5482280149641
log 3(147.94)=4.5482895446378
log 3(147.95)=4.5483510701524
log 3(147.96)=4.5484125915087
log 3(147.97)=4.5484741087072
log 3(147.98)=4.5485356217484
log 3(147.99)=4.5485971306329
log 3(148)=4.5486586353612
log 3(148.01)=4.5487201359339
log 3(148.02)=4.5487816323517
log 3(148.03)=4.5488431246149
log 3(148.04)=4.5489046127243
log 3(148.05)=4.5489660966803
log 3(148.06)=4.5490275764836
log 3(148.07)=4.5490890521346
log 3(148.08)=4.549150523634
log 3(148.09)=4.5492119909822
log 3(148.1)=4.54927345418
log 3(148.11)=4.5493349132278
log 3(148.12)=4.5493963681261
log 3(148.13)=4.5494578188756
log 3(148.14)=4.5495192654768
log 3(148.15)=4.5495807079303
log 3(148.16)=4.5496421462366
log 3(148.17)=4.5497035803963
log 3(148.18)=4.5497650104099
log 3(148.19)=4.549826436278
log 3(148.2)=4.5498878580012
log 3(148.21)=4.5499492755801
log 3(148.22)=4.5500106890151
log 3(148.23)=4.5500720983068
log 3(148.24)=4.5501335034559
log 3(148.25)=4.5501949044628
log 3(148.26)=4.5502563013281
log 3(148.27)=4.5503176940524
log 3(148.28)=4.5503790826363
log 3(148.29)=4.5504404670802
log 3(148.3)=4.5505018473848
log 3(148.31)=4.5505632235506
log 3(148.32)=4.5506245955782
log 3(148.33)=4.5506859634681
log 3(148.34)=4.5507473272209
log 3(148.35)=4.5508086868371
log 3(148.36)=4.5508700423173
log 3(148.37)=4.5509313936621
log 3(148.38)=4.550992740872
log 3(148.39)=4.5510540839476
log 3(148.4)=4.5511154228894
log 3(148.41)=4.551176757698
log 3(148.42)=4.551238088374
log 3(148.43)=4.5512994149178
log 3(148.44)=4.5513607373301
log 3(148.45)=4.5514220556114
log 3(148.46)=4.5514833697623
log 3(148.47)=4.5515446797833
log 3(148.48)=4.551605985675
log 3(148.49)=4.5516672874379
log 3(148.5)=4.5517285850727
log 3(148.51)=4.5517898785798

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