Solve log_{4}64 | Microsoft Math Solver (2024)

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How do you evaluate \displaystyle{{\log}_{{6}}{\left({216}\right)}} ?

https://socratic.org/questions/how-do-you-evaluate-log-6-216

mason m Nov 16, 2015 If\displaystyle{{\log}_{{6}}{\left({216}\right)}}={x} , we can say that\displaystyle{x}={{\log}_{{6}}{\left({6}^{{3}}\right)}}={3}{{\log}_{{6}}{\left({6}\right)}}={3.} ...

Solve log_{4}64 | Microsoft Math Solver (2024)

FAQs

Solve log_{4}64 | Microsoft Math Solver? ›

The base 4 logarithm of 64 is 3.

How do you solve log 4? ›

As we have already calculated the log 4 value to the base 10, the natural logarithm of 4 can be calculated by multiplying it with the number 2.303. With accurate and precise computations, the natural log 4 value is calculated up to six decimal places as 1.386294.

What is the value of log 4 base 2? ›

Value of log 4 to the base 2

Now we can write the above expression in exponential form. Therefore, the value of log 4 to the base 2 equals 2.

What is log base 4 of 8? ›

Logarithm base 4 of 8 is 32 .

How to solve log 4 64? ›

Explanation:
  1. log464=log443.
  2. =3⋅log44.
  3. And since logxx=1 (always!):
  4. =3⋅1=3.
Jul 9, 2015

What is the value of y log 4 64 y? ›

Expert-Verified Answer

Hence the value of y = 3.

How to find out log? ›

The logarithm of a number to a given base is the exponent by which that base should be raised to give the original number. For example, if log₂16 = x then 2x = 16 and x = 4 satisfies this equation. So log₂ 16 = 4.

How to find log on calculator? ›

To find the log value of a number on a basic calculator: 1) Enter the number and take its square root 15 times. 2) Subtract 1 from the result. 3) Divide the result by 0.000070271 to obtain the log value. To find the antilog of a number: 1) Raise 10 to the power of the given number using a calculator.

How to solve the value of log? ›

Use the steps below to solve logs in equations:
  1. Apply the log rules to combine like terms. In logarithmic equations, you may often encounter variables that represent unknown values. ...
  2. Simplify the resulting mathematical operations. ...
  3. Balance the equation to isolate the variable. ...
  4. Use the result to check the log.
Jul 30, 2024

What are the 7 rules of logarithms? ›

What are the 7 Log Rules?
Rule NameLog Rule
Quotient Rulelogb m/n = logb m - logb n
Power Rule of Logarithmlogb mn = n logb m
Change of Base Rulelogb a = (log a) / ( log b)
Number Raised to Logblogbx = x
3 more rows

What is the simplified value of log 4? ›

Value of log 4 is 0.6021 (common logarithm). Value of ln 4 is 1.3863 (natural logarithm).

How much is log for 4? ›

Value of Log 1 to 10 for Log Base 10
Common Logarithm to a Number (log10 x)Log Value
Log 10
Log 20.3010
Log 30.4771
Log 40.6020
6 more rows

What is the anti log of 4? ›

What is the antilog of 4? The antilog of 4 is equal to 10000.

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