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Calculate Log Base 9 of 3
To solve the equation log9 (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 = 9:log9 (3) = log(3) / log(9)
- Evaluate the term:log(3) / log(9)= 0.477121254719662 / 0.954242509439325= 0.5= Logarithm of 3 with base 9
Additional Information
- From the definition of logarithm by = x ⇔ y = logb(x) follows that 90.5 = 3
- 90.5 = 3 is the exponential form of log9 (3)
- 9 is the logarithm base of log9 (3)
- 3 is the argument of log9 (3)
- 0.5 is the exponent or power of 90.5 = 3
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FAQs
What is the value of log9 3?
Log9 (3) = 0.5.
How do you find the value of log93?
Carry out the change of base logarithm operation.
What does log9 3 mean?
It means the logarithm of 3 with base 9.
How do you solve log base 9 3?
Apply the change of base rule, substitute the variables, and evaluate the term.
What is the log base 9 of 3?
The value is 0.5.
How do you write log9 3 in exponential form?
In exponential form is 90.5 = 3.
What is log9 (3) equal to?
log base 9 of 3 = 0.5.
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 9 of 3 = 0.5.You now know everything about the logarithm with base 9, argument 3 and exponent 0.5.
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.
If you have not already done so, please hit the share buttons, and install our PWA app (see menu or sidebar).Thanks for visiting Log9 (3).
Table
Our quick conversion table is easy to use:| log9(x) | Value | |
|---|---|---|
| log9(2.5) | = | 0.4170218836 |
| log9(2.51) | = | 0.4188387307 |
| log9(2.52) | = | 0.4206483539 |
| log9(2.53) | = | 0.4224508101 |
| log9(2.54) | = | 0.4242461561 |
| log9(2.55) | = | 0.4260344477 |
| log9(2.56) | = | 0.42781574 |
| log9(2.57) | = | 0.4295900877 |
| log9(2.58) | = | 0.4313575447 |
| log9(2.59) | = | 0.4331181644 |
| log9(2.6) | = | 0.4348719994 |
| log9(2.61) | = | 0.4366191018 |
| log9(2.62) | = | 0.4383595231 |
| log9(2.63) | = | 0.4400933142 |
| log9(2.64) | = | 0.4418205254 |
| log9(2.65) | = | 0.4435412065 |
| log9(2.66) | = | 0.4452554067 |
| log9(2.67) | = | 0.4469631746 |
| log9(2.68) | = | 0.4486645583 |
| log9(2.69) | = | 0.4503596054 |
| log9(2.7) | = | 0.4520483629 |
| log9(2.71) | = | 0.4537308772 |
| log9(2.72) | = | 0.4554071944 |
| log9(2.73) | = | 0.45707736 |
| log9(2.74) | = | 0.458741419 |
| log9(2.75) | = | 0.4603994158 |
| log9(2.76) | = | 0.4620513944 |
| log9(2.77) | = | 0.4636973984 |
| log9(2.78) | = | 0.4653374708 |
| log9(2.79) | = | 0.4669716543 |
| log9(2.8) | = | 0.468599991 |
| log9(2.81) | = | 0.4702225225 |
| log9(2.82) | = | 0.4718392902 |
| log9(2.83) | = | 0.4734503347 |
| log9(2.84) | = | 0.4750556966 |
| log9(2.85) | = | 0.4766554157 |
| log9(2.86) | = | 0.4782495316 |
| log9(2.87) | = | 0.4798380833 |
| log9(2.88) | = | 0.4814211096 |
| log9(2.89) | = | 0.4829986489 |
| log9(2.9) | = | 0.4845707389 |
| log9(2.91) | = | 0.4861374173 |
| log9(2.92) | = | 0.4876987211 |
| log9(2.93) | = | 0.4892546871 |
| log9(2.94) | = | 0.4908053517 |
| log9(2.95) | = | 0.4923507508 |
| log9(2.96) | = | 0.4938909202 |
| log9(2.97) | = | 0.495425895 |
| log9(2.98) | = | 0.4969557103 |
| log9(2.99) | = | 0.4984804005 |
| log9(3) | = | 0.5 |
| log9(3.01) | = | 0.5015145425 |
| log9(3.02) | = | 0.5030240617 |
| log9(3.03) | = | 0.5045285907 |
| log9(3.04) | = | 0.5060281625 |
| log9(3.05) | = | 0.5075228095 |
| log9(3.06) | = | 0.5090125641 |
| log9(3.07) | = | 0.5104974581 |
| log9(3.08) | = | 0.5119775232 |
| log9(3.09) | = | 0.5134527906 |
| log9(3.1) | = | 0.5149232915 |
| log9(3.11) | = | 0.5163890564 |
| log9(3.12) | = | 0.5178501158 |
| log9(3.13) | = | 0.5193064998 |
| log9(3.14) | = | 0.5207582382 |
| log9(3.15) | = | 0.5222053607 |
| log9(3.16) | = | 0.5236478963 |
| log9(3.17) | = | 0.5250858741 |
| log9(3.18) | = | 0.5265193229 |
| log9(3.19) | = | 0.5279482711 |
| log9(3.2) | = | 0.5293727468 |
| log9(3.21) | = | 0.5307927779 |
| log9(3.22) | = | 0.5322083922 |
| log9(3.23) | = | 0.5336196169 |
| log9(3.24) | = | 0.5350264793 |
| log9(3.25) | = | 0.5364290062 |
| log9(3.26) | = | 0.5378272242 |
| log9(3.27) | = | 0.5392211598 |
| log9(3.28) | = | 0.5406108391 |
| log9(3.29) | = | 0.541996288 |
| log9(3.3) | = | 0.5433775322 |
| log9(3.31) | = | 0.5447545971 |
| log9(3.32) | = | 0.546127508 |
| log9(3.33) | = | 0.5474962898 |
| log9(3.34) | = | 0.5488609673 |
| log9(3.35) | = | 0.5502215651 |
| log9(3.36) | = | 0.5515781074 |
| log9(3.37) | = | 0.5529306184 |
| log9(3.38) | = | 0.554279122 |
| log9(3.39) | = | 0.5556236417 |
| log9(3.4) | = | 0.5569642012 |
| log9(3.41) | = | 0.5583008237 |
| log9(3.42) | = | 0.5596335321 |
| log9(3.43) | = | 0.5609623495 |
| log9(3.44) | = | 0.5622872983 |
| log9(3.45) | = | 0.5636084012 |
| log9(3.46) | = | 0.5649256803 |
| log9(3.47) | = | 0.5662391577 |
| log9(3.48) | = | 0.5675488553 |
| log9(3.49) | = | 0.5688547949 |
| log9(3.5) | = | 0.5701569978 |