Home » Logarithms of 81 » Log81 (3)

# Log81 (3)

Log81 (3) is the logarithm of 3 to the base 81:

## Calculator

log

Result:
As you can see in our log calculator, log81 (3) = 0.25.

## Calculate Log Base 81 of 3

To solve the equation log81 (3) = x carry out the following steps.
1. Apply the change of base rule:
loga (x) = logb (x) / logb (a)
With b = 10:
loga (x) = log(x) / log(a)
2. Substitute the variables:
With x = 3, a = 81:
log81 (3) = log(3) / log(81)
3. Evaluate the term:
log(3) / log(81)
= 0.477121254719662 / 1.90848501887865
= 0.25
= Logarithm of 3 with base 81
Here’s the logarithm of 81 to the base 3.

• From the definition of logarithm by = x ⇔ y = logb(x) follows that 810.25 = 3
• 810.25 = 3 is the exponential form of log81 (3)
• 81 is the logarithm base of log81 (3)
• 3 is the argument of log81 (3)
• 0.25 is the exponent or power of 810.25 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

## FAQs

### What is the value of log81 3?

Log81 (3) = 0.25.

### How do you find the value of log813?

Carry out the change of base logarithm operation.

### What does log81 3 mean?

It means the logarithm of 3 with base 81.

### How do you solve log base 81 3?

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

### What is the log base 81 of 3?

The value is 0.25.

### How do you write log81 3 in exponential form?

In exponential form is 810.25 = 3.

### What is log81 (3) equal to?

log base 81 of 3 = 0.25.

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 81 of 3 = 0.25.

You now know everything about the logarithm with base 81, argument 3 and exponent 0.25.
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.

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## Table

Our quick conversion table is easy to use:
log81(x)Value
log81(2.5)=0.2085109418
log81(2.51)=0.2094193654
log81(2.52)=0.2103241769
log81(2.53)=0.2112254051
log81(2.54)=0.2121230781
log81(2.55)=0.2130172238
log81(2.56)=0.21390787
log81(2.57)=0.2147950439
log81(2.58)=0.2156787724
log81(2.59)=0.2165590822
log81(2.6)=0.2174359997
log81(2.61)=0.2183095509
log81(2.62)=0.2191797615
log81(2.63)=0.2200466571
log81(2.64)=0.2209102627
log81(2.65)=0.2217706033
log81(2.66)=0.2226277034
log81(2.67)=0.2234815873
log81(2.68)=0.2243322792
log81(2.69)=0.2251798027
log81(2.7)=0.2260241814
log81(2.71)=0.2268654386
log81(2.72)=0.2277035972
log81(2.73)=0.22853868
log81(2.74)=0.2293707095
log81(2.75)=0.2301997079
log81(2.76)=0.2310256972
log81(2.77)=0.2318486992
log81(2.78)=0.2326687354
log81(2.79)=0.2334858272
log81(2.8)=0.2342999955
log81(2.81)=0.2351112613
log81(2.82)=0.2359196451
log81(2.83)=0.2367251674
log81(2.84)=0.2375278483
log81(2.85)=0.2383277078
log81(2.86)=0.2391247658
log81(2.87)=0.2399190417
log81(2.88)=0.2407105548
log81(2.89)=0.2414993244
log81(2.9)=0.2422853695
log81(2.91)=0.2430687086
log81(2.92)=0.2438493605
log81(2.93)=0.2446273435
log81(2.94)=0.2454026758
log81(2.95)=0.2461753754
log81(2.96)=0.2469454601
log81(2.97)=0.2477129475
log81(2.98)=0.2484778551
log81(2.99)=0.2492402003
log81(3)=0.25
log81(3.01)=0.2507572713
log81(3.02)=0.2515120309
log81(3.03)=0.2522642954
log81(3.04)=0.2530140812
log81(3.05)=0.2537614048
log81(3.06)=0.254506282
log81(3.07)=0.255248729
log81(3.08)=0.2559887616
log81(3.09)=0.2567263953
log81(3.1)=0.2574616457
log81(3.11)=0.2581945282
log81(3.12)=0.2589250579
log81(3.13)=0.2596532499
log81(3.14)=0.2603791191
log81(3.15)=0.2611026803
log81(3.16)=0.2618239481
log81(3.17)=0.2625429371
log81(3.18)=0.2632596615
log81(3.19)=0.2639741355
log81(3.2)=0.2646863734
log81(3.21)=0.265396389
log81(3.22)=0.2661041961
log81(3.23)=0.2668098085
log81(3.24)=0.2675132396
log81(3.25)=0.2682145031
log81(3.26)=0.2689136121
log81(3.27)=0.2696105799
log81(3.28)=0.2703054195
log81(3.29)=0.270998144
log81(3.3)=0.2716887661
log81(3.31)=0.2723772986
log81(3.32)=0.273063754
log81(3.33)=0.2737481449
log81(3.34)=0.2744304837
log81(3.35)=0.2751107826
log81(3.36)=0.2757890537
log81(3.37)=0.2764653092
log81(3.38)=0.277139561
log81(3.39)=0.2778118209
log81(3.4)=0.2784821006
log81(3.41)=0.2791504118
log81(3.42)=0.2798167661
log81(3.43)=0.2804811747
log81(3.44)=0.2811436492
log81(3.45)=0.2818042006
log81(3.46)=0.2824628401
log81(3.47)=0.2831195789
log81(3.48)=0.2837744277
log81(3.49)=0.2844273974
log81(3.5)=0.2850784989