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Calculate Log Base 81 of 3
To solve the equation log81 (3) = x carry out the following steps.- Apply the change of base rule:loga (x) = logb (x) / logb (a)With b = 10:loga (x) = log(x) / log(a)
- Substitute the variables:With x = 3, a = 81:log81 (3) = log(3) / log(81)
- Evaluate the term:log(3) / log(81)= 0.477121254719662 / 1.90848501887865= 0.25= Logarithm of 3 with base 81
Additional Information
- 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
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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 |