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Log 5 (90)

Log 5 (90) is the logarithm of 90 to the base 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (90) = 2.7958889470454.

Calculate Log Base 5 of 90

To solve the equation log 5 (90) = 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 = 90, a = 5:
    log 5 (90) = log(90) / log(5)
  3. Evaluate the term:
    log(90) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 2.7958889470454
    = Logarithm of 90 with base 5
Here’s the logarithm of 5 to the base 90.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 2.7958889470454 = 90
  • 5 2.7958889470454 = 90 is the exponential form of log5 (90)
  • 5 is the logarithm base of log5 (90)
  • 90 is the argument of log5 (90)
  • 2.7958889470454 is the exponent or power of 5 2.7958889470454 = 90
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log5 90?

Log5 (90) = 2.7958889470454.

How do you find the value of log 590?

Carry out the change of base logarithm operation.

What does log 5 90 mean?

It means the logarithm of 90 with base 5.

How do you solve log base 5 90?

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

What is the log base 5 of 90?

The value is 2.7958889470454.

How do you write log 5 90 in exponential form?

In exponential form is 5 2.7958889470454 = 90.

What is log5 (90) equal to?

log base 5 of 90 = 2.7958889470454.
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 5 of 90 = 2.7958889470454.

You now know everything about the logarithm with base 5, argument 90 and exponent 2.7958889470454.
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 Log5 (90).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(89.5)=2.7924274621341
log 5(89.51)=2.7924968811538
log 5(89.52)=2.7925662924184
log 5(89.53)=2.7926356959297
log 5(89.54)=2.7927050916895
log 5(89.55)=2.7927744796995
log 5(89.56)=2.7928438599613
log 5(89.57)=2.7929132324768
log 5(89.58)=2.7929825972477
log 5(89.59)=2.7930519542757
log 5(89.6)=2.7931213035625
log 5(89.61)=2.7931906451099
log 5(89.62)=2.7932599789195
log 5(89.63)=2.7933293049932
log 5(89.64)=2.7933986233326
log 5(89.65)=2.7934679339395
log 5(89.66)=2.7935372368155
log 5(89.67)=2.7936065319625
log 5(89.68)=2.7936758193821
log 5(89.69)=2.793745099076
log 5(89.7)=2.7938143710461
log 5(89.71)=2.7938836352939
log 5(89.72)=2.7939528918212
log 5(89.73)=2.7940221406299
log 5(89.74)=2.7940913817214
log 5(89.75)=2.7941606150977
log 5(89.76)=2.7942298407603
log 5(89.77)=2.7942990587111
log 5(89.78)=2.7943682689517
log 5(89.79)=2.7944374714839
log 5(89.8)=2.7945066663094
log 5(89.81)=2.7945758534298
log 5(89.82)=2.794645032847
log 5(89.83)=2.7947142045626
log 5(89.84)=2.7947833685783
log 5(89.85)=2.7948525248959
log 5(89.86)=2.794921673517
log 5(89.87)=2.7949908144434
log 5(89.88)=2.7950599476768
log 5(89.89)=2.7951290732189
log 5(89.9)=2.7951981910714
log 5(89.91)=2.7952673012361
log 5(89.92)=2.7953364037145
log 5(89.93)=2.7954054985086
log 5(89.94)=2.7954745856198
log 5(89.95)=2.7955436650501
log 5(89.96)=2.795612736801
log 5(89.97)=2.7956818008742
log 5(89.98)=2.7957508572716
log 5(89.99)=2.7958199059947
log 5(90)=2.7958889470454
log 5(90.01)=2.7959579804252
log 5(90.02)=2.7960270061359
log 5(90.03)=2.7960960241793
log 5(90.04)=2.7961650345569
log 5(90.05)=2.7962340372706
log 5(90.06)=2.796303032322
log 5(90.07)=2.7963720197128
log 5(90.08)=2.7964409994447
log 5(90.09)=2.7965099715194
log 5(90.1)=2.7965789359387
log 5(90.11)=2.7966478927041
log 5(90.12)=2.7967168418175
log 5(90.13)=2.7967857832805
log 5(90.14)=2.7968547170948
log 5(90.15)=2.7969236432621
log 5(90.16)=2.7969925617841
log 5(90.17)=2.7970614726625
log 5(90.18)=2.797130375899
log 5(90.19)=2.7971992714953
log 5(90.2)=2.7972681594531
log 5(90.21)=2.7973370397741
log 5(90.22)=2.7974059124599
log 5(90.23)=2.7974747775123
log 5(90.24)=2.7975436349329
log 5(90.25)=2.7976124847235
log 5(90.26)=2.7976813268857
log 5(90.27)=2.7977501614213
log 5(90.28)=2.7978189883319
log 5(90.29)=2.7978878076192
log 5(90.3)=2.7979566192848
log 5(90.31)=2.7980254233306
log 5(90.32)=2.7980942197581
log 5(90.33)=2.7981630085691
log 5(90.34)=2.7982317897652
log 5(90.35)=2.7983005633482
log 5(90.36)=2.7983693293196
log 5(90.37)=2.7984380876813
log 5(90.38)=2.7985068384348
log 5(90.39)=2.798575581582
log 5(90.4)=2.7986443171243
log 5(90.41)=2.7987130450636
log 5(90.42)=2.7987817654015
log 5(90.43)=2.7988504781397
log 5(90.44)=2.7989191832799
log 5(90.45)=2.7989878808237
log 5(90.46)=2.7990565707729
log 5(90.47)=2.7991252531291
log 5(90.480000000001)=2.799193927894
log 5(90.490000000001)=2.7992625950692
log 5(90.500000000001)=2.7993312546565

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