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Log 345 (42)

Log 345 (42) is the logarithm of 42 to the base 345:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log345 (42) = 0.63962372004732.

Calculate Log Base 345 of 42

To solve the equation log 345 (42) = 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 = 42, a = 345:
    log 345 (42) = log(42) / log(345)
  3. Evaluate the term:
    log(42) / log(345)
    = 1.39794000867204 / 1.92427928606188
    = 0.63962372004732
    = Logarithm of 42 with base 345
Here’s the logarithm of 345 to the base 42.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 345 0.63962372004732 = 42
  • 345 0.63962372004732 = 42 is the exponential form of log345 (42)
  • 345 is the logarithm base of log345 (42)
  • 42 is the argument of log345 (42)
  • 0.63962372004732 is the exponent or power of 345 0.63962372004732 = 42
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log345 42?

Log345 (42) = 0.63962372004732.

How do you find the value of log 34542?

Carry out the change of base logarithm operation.

What does log 345 42 mean?

It means the logarithm of 42 with base 345.

How do you solve log base 345 42?

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

What is the log base 345 of 42?

The value is 0.63962372004732.

How do you write log 345 42 in exponential form?

In exponential form is 345 0.63962372004732 = 42.

What is log345 (42) equal to?

log base 345 of 42 = 0.63962372004732.

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 345 of 42 = 0.63962372004732.

You now know everything about the logarithm with base 345, argument 42 and exponent 0.63962372004732.
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 Log345 (42).

Table

Our quick conversion table is easy to use:
log 345(x) Value
log 345(41.5)=0.63757424627045
log 345(41.51)=0.63761547721028
log 345(41.52)=0.63765669821855
log 345(41.53)=0.63769790930001
log 345(41.54)=0.63773911045947
log 345(41.55)=0.63778030170168
log 345(41.56)=0.63782148303144
log 345(41.57)=0.6378626544535
log 345(41.58)=0.63790381597263
log 345(41.59)=0.6379449675936
log 345(41.6)=0.63798610932116
log 345(41.61)=0.63802724116007
log 345(41.62)=0.63806836311508
log 345(41.63)=0.63810947519095
log 345(41.64)=0.63815057739241
log 345(41.65)=0.63819166972421
log 345(41.66)=0.63823275219109
log 345(41.67)=0.63827382479779
log 345(41.68)=0.63831488754903
log 345(41.69)=0.63835594044954
log 345(41.7)=0.63839698350405
log 345(41.71)=0.63843801671728
log 345(41.72)=0.63847904009395
log 345(41.73)=0.63852005363878
log 345(41.74)=0.63856105735647
log 345(41.75)=0.63860205125174
log 345(41.76)=0.63864303532928
log 345(41.77)=0.6386840095938
log 345(41.78)=0.63872497405001
log 345(41.79)=0.63876592870258
log 345(41.8)=0.63880687355622
log 345(41.81)=0.63884780861561
log 345(41.82)=0.63888873388544
log 345(41.83)=0.63892964937038
log 345(41.84)=0.63897055507512
log 345(41.85)=0.63901145100433
log 345(41.86)=0.63905233716269
log 345(41.87)=0.63909321355485
log 345(41.88)=0.63913408018548
log 345(41.89)=0.63917493705925
log 345(41.9)=0.63921578418081
log 345(41.91)=0.63925662155482
log 345(41.92)=0.63929744918592
log 345(41.93)=0.63933826707877
log 345(41.94)=0.63937907523801
log 345(41.95)=0.63941987366829
log 345(41.96)=0.63946066237423
log 345(41.97)=0.63950144136047
log 345(41.98)=0.63954221063165
log 345(41.99)=0.63958297019239
log 345(42)=0.63962372004732
log 345(42.01)=0.63966446020106
log 345(42.02)=0.63970519065822
log 345(42.03)=0.63974591142343
log 345(42.04)=0.63978662250129
log 345(42.05)=0.63982732389641
log 345(42.06)=0.63986801561339
log 345(42.07)=0.63990869765684
log 345(42.08)=0.63994937003135
log 345(42.09)=0.63999003274153
log 345(42.1)=0.64003068579196
log 345(42.11)=0.64007132918722
log 345(42.12)=0.64011196293191
log 345(42.13)=0.64015258703061
log 345(42.14)=0.6401932014879
log 345(42.15)=0.64023380630834
log 345(42.16)=0.64027440149652
log 345(42.17)=0.640314987057
log 345(42.18)=0.64035556299435
log 345(42.19)=0.64039612931313
log 345(42.2)=0.6404366860179
log 345(42.21)=0.64047723311321
log 345(42.22)=0.64051777060362
log 345(42.23)=0.64055829849368
log 345(42.24)=0.64059881678793
log 345(42.25)=0.64063932549092
log 345(42.26)=0.64067982460718
log 345(42.27)=0.64072031414125
log 345(42.28)=0.64076079409767
log 345(42.29)=0.64080126448097
log 345(42.3)=0.64084172529567
log 345(42.31)=0.64088217654629
log 345(42.32)=0.64092261823736
log 345(42.33)=0.64096305037339
log 345(42.34)=0.6410034729589
log 345(42.35)=0.6410438859984
log 345(42.36)=0.6410842894964
log 345(42.37)=0.6411246834574
log 345(42.38)=0.64116506788589
log 345(42.39)=0.64120544278639
log 345(42.4)=0.64124580816338
log 345(42.41)=0.64128616402136
log 345(42.42)=0.64132651036482
log 345(42.43)=0.64136684719823
log 345(42.44)=0.64140717452609
log 345(42.45)=0.64144749235287
log 345(42.46)=0.64148780068304
log 345(42.47)=0.64152809952109
log 345(42.48)=0.64156838887147
log 345(42.49)=0.64160866873866
log 345(42.5)=0.64164893912712
log 345(42.51)=0.64168920004131

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