Home » Logarithms of 5 » Log5 (15)

Log 5 (15)

Log 5 (15) is the logarithm of 15 to the base 5:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (15) = 1.682606194486.

Calculate Log Base 5 of 15

To solve the equation log 5 (15) = 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 = 15, a = 5:
    log 5 (15) = log(15) / log(5)
  3. Evaluate the term:
    log(15) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.682606194486
    = Logarithm of 15 with base 5
Here’s the logarithm of 5 to the base 15.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.682606194486 = 15
  • 5 1.682606194486 = 15 is the exponential form of log5 (15)
  • 5 is the logarithm base of log5 (15)
  • 15 is the argument of log5 (15)
  • 1.682606194486 is the exponent or power of 5 1.682606194486 = 15
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 15?

Log5 (15) = 1.682606194486.

How do you find the value of log 515?

Carry out the change of base logarithm operation.

What does log 5 15 mean?

It means the logarithm of 15 with base 5.

How do you solve log base 5 15?

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

What is the log base 5 of 15?

The value is 1.682606194486.

How do you write log 5 15 in exponential form?

In exponential form is 5 1.682606194486 = 15.

What is log5 (15) equal to?

log base 5 of 15 = 1.682606194486.

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 15 = 1.682606194486.

You now know everything about the logarithm with base 5, argument 15 and exponent 1.682606194486.
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 (15).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(14.5)=1.6615419760941
log 5(14.51)=1.6619703352524
log 5(14.52)=1.6623983992959
log 5(14.53)=1.662826168631
log 5(14.54)=1.663253643663
log 5(14.55)=1.6636808247967
log 5(14.56)=1.664107712436
log 5(14.57)=1.6645343069839
log 5(14.58)=1.6649606088425
log 5(14.59)=1.6653866184132
log 5(14.6)=1.6658123360966
log 5(14.61)=1.6662377622923
log 5(14.62)=1.6666628973993
log 5(14.63)=1.6670877418155
log 5(14.64)=1.6675122959383
log 5(14.65)=1.6679365601641
log 5(14.66)=1.6683605348886
log 5(14.67)=1.6687842205065
log 5(14.68)=1.6692076174118
log 5(14.69)=1.6696307259978
log 5(14.7)=1.6700535466569
log 5(14.71)=1.6704760797807
log 5(14.72)=1.67089832576
log 5(14.73)=1.6713202849847
log 5(14.74)=1.6717419578442
log 5(14.75)=1.6721633447267
log 5(14.76)=1.6725844460201
log 5(14.77)=1.6730052621111
log 5(14.78)=1.6734257933857
log 5(14.79)=1.6738460402293
log 5(14.8)=1.6742660030263
log 5(14.81)=1.6746856821605
log 5(14.82)=1.6751050780148
log 5(14.83)=1.6755241909714
log 5(14.84)=1.6759430214116
log 5(14.85)=1.6763615697161
log 5(14.86)=1.6767798362648
log 5(14.87)=1.6771978214367
log 5(14.88)=1.6776155256101
log 5(14.89)=1.6780329491626
log 5(14.9)=1.678450092471
log 5(14.91)=1.6788669559114
log 5(14.92)=1.679283539859
log 5(14.93)=1.6796998446883
log 5(14.94)=1.6801158707732
log 5(14.95)=1.6805316184867
log 5(14.96)=1.680947088201
log 5(14.97)=1.6813622802876
log 5(14.98)=1.6817771951174
log 5(14.99)=1.6821918330605
log 5(15)=1.682606194486
log 5(15.01)=1.6830202797626
log 5(15.02)=1.6834340892581
log 5(15.03)=1.6838476233396
log 5(15.04)=1.6842608823735
log 5(15.05)=1.6846738667254
log 5(15.06)=1.6850865767603
log 5(15.07)=1.6854990128421
log 5(15.08)=1.6859111753346
log 5(15.09)=1.6863230646003
log 5(15.1)=1.6867346810013
log 5(15.11)=1.6871460248988
log 5(15.12)=1.6875570966535
log 5(15.13)=1.6879678966252
log 5(15.14)=1.6883784251731
log 5(15.15)=1.6887886826555
log 5(15.16)=1.6891986694302
log 5(15.17)=1.6896083858543
log 5(15.18)=1.6900178322839
log 5(15.19)=1.6904270090749
log 5(15.2)=1.6908359165819
log 5(15.21)=1.6912445551593
log 5(15.22)=1.6916529251606
log 5(15.23)=1.6920610269385
log 5(15.24)=1.6924688608453
log 5(15.25)=1.6928764272322
log 5(15.26)=1.69328372645
log 5(15.27)=1.6936907588488
log 5(15.28)=1.6940975247779
log 5(15.29)=1.6945040245861
log 5(15.3)=1.6949102586212
log 5(15.31)=1.6953162272306
log 5(15.32)=1.6957219307608
log 5(15.33)=1.696127369558
log 5(15.34)=1.6965325439672
log 5(15.35)=1.6969374543332
log 5(15.36)=1.6973421009997
log 5(15.37)=1.6977464843102
log 5(15.38)=1.6981506046071
log 5(15.39)=1.6985544622323
log 5(15.4)=1.6989580575271
log 5(15.41)=1.6993613908322
log 5(15.42)=1.6997644624873
log 5(15.43)=1.7001672728317
log 5(15.44)=1.7005698222041
log 5(15.45)=1.7009721109424
log 5(15.46)=1.7013741393838
log 5(15.47)=1.7017759078651
log 5(15.48)=1.702177416722
log 5(15.49)=1.7025786662901
log 5(15.5)=1.7029796569039
log 5(15.51)=1.7033803888975

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top