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The expression "3 log" typically refers to the logarithm of a number, often written as ( \log(3) ) or sometimes ( 3 \cdot \log(x) ), where ( x ) is the number being logged. The logarithm represents the power to which a base must be raised to produce a given number. If you mean ( \log(3) ) in base 10, it approximately equals 0.477. If you meant something else, please provide more context!

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How do you solve log base 2 of x - 3 log base 2 of 5 equals 2 log base 2 of 10?

[log2 (x - 3)](log2 5) = 2log2 10 log2 (x - 3) = 2log2 10/log2 5 log2 (x - 3) = 2(log 10/log 2)/(log5/log 2) log2 (x - 3) = 2(log 10/log 5) log2 (x - 3) = 2(1/log 5) log2 (x - 3) = 2/log 5 x - 3 = 22/log x = 3 + 22/log 5


What is 3x66 as a logarithmic function?

log (3 x 66) = log 3 + log 66


What is 3log10?

The expression (3 \log 10) can be simplified using the properties of logarithms. Since (\log 10) in base 10 equals 1, we have (3 \log 10 = 3 \times 1 = 3). Therefore, (3 \log 10 = 3).


What is log base 5of 125?

log(5)125 = log(5) 5^(3) = 3log(5) 5 = 3 (1) = 3 Remember for any log base if the coefficient is the same as the base then the answer is '1' Hence log(10)10 = 1 log(a) a = 1 et.seq., You can convert the log base '5' , to log base '10' for ease of the calculator. Log(5)125 = log(10)125/log(10)5 Hence log(5)125 = log(10) 5^(3) / log(10)5 => log(5)125 = 3log(10)5 / log(10)5 Cancel down by 'log(10)5'. Hence log(5)125 = 3 NB one of the factors of 'log' is log(a) a^(n) The index number of 'n' can be moved to be a coefficient of the 'log'. Hence log(a) a^(n) = n*log(a)a Hope that helps!!!!!


What is equal to log x2 times y3 divide z4?

The expression ( \log \left( \frac{x^2 \cdot y^3}{z^4} \right) ) can be simplified using logarithmic properties. It can be rewritten as ( \log(x^2) + \log(y^3) - \log(z^4) ). Further simplifying each term gives ( 2 \log(x) + 3 \log(y) - 4 \log(z) ). Thus, the final expression is ( 2 \log(x) + 3 \log(y) - 4 \log(z) ).

Related Questions

How do you solve 3 to the power of negative 2x plus 2 equals 81?

3^(-2x + 2) = 81? log(3^(-2x + 2)) = log(81) (-2x+2)log(3) = log(81) -2x = log(81)/log(3) - 2 x = (-1/2)(log(81)/log(3)) + 1


If 3 log x - 2 log y?

1


How do you solve log base 2 of x - 3 log base 2 of 5 equals 2 log base 2 of 10?

[log2 (x - 3)](log2 5) = 2log2 10 log2 (x - 3) = 2log2 10/log2 5 log2 (x - 3) = 2(log 10/log 2)/(log5/log 2) log2 (x - 3) = 2(log 10/log 5) log2 (x - 3) = 2(1/log 5) log2 (x - 3) = 2/log 5 x - 3 = 22/log x = 3 + 22/log 5


What is 3x66 as a logarithmic function?

log (3 x 66) = log 3 + log 66


How do you write expressions in exponential form of the numbers 3 and 5?

Using the natural (base e) logs, written as "ln", 3 is eln(3) and 5 is eln(5). Or in base 10, 3=10log(3) and 5=10log(5). Check it out by taking log of both sides: log(3) = log(10log(3)) = log(3) x log(10) =log(3) x 1=log(3).


What is log to the third power equal to?

Log (x^3) = 3 log(x) Log of x to the third power is three times log of x.


Given log 2 and log 3 how do you compute log 36?

log(36) = 1.5563To solve this problem without using a scientific calculator, factor 36 into 2*2*3*3, and use the formula:log(a*b) = log(a) + log(b)So, in this case:log(36) = log(2) + log(2) + log(3) + log(3) = 0.3010 + 0.3010 + 0.4772 + 0.4772 = 1.5564 (slight rounding error)


What is the log of 1000?

log(1000) = 3


What is 3log10?

The expression (3 \log 10) can be simplified using the properties of logarithms. Since (\log 10) in base 10 equals 1, we have (3 \log 10 = 3 \times 1 = 3). Therefore, (3 \log 10 = 3).


3 to the power of x equals 18 what does x equal?

3x = 18Take the logarithm of each side:x log(3) = log(18)Divide each side by log(3):x = log(18) / log(3) = 1.25527 / 0.47712x = 2.63093 (rounded)


What is log base 5of 125?

log(5)125 = log(5) 5^(3) = 3log(5) 5 = 3 (1) = 3 Remember for any log base if the coefficient is the same as the base then the answer is '1' Hence log(10)10 = 1 log(a) a = 1 et.seq., You can convert the log base '5' , to log base '10' for ease of the calculator. Log(5)125 = log(10)125/log(10)5 Hence log(5)125 = log(10) 5^(3) / log(10)5 => log(5)125 = 3log(10)5 / log(10)5 Cancel down by 'log(10)5'. Hence log(5)125 = 3 NB one of the factors of 'log' is log(a) a^(n) The index number of 'n' can be moved to be a coefficient of the 'log'. Hence log(a) a^(n) = n*log(a)a Hope that helps!!!!!


What is equal to log x2 times y3 divide z4?

The expression ( \log \left( \frac{x^2 \cdot y^3}{z^4} \right) ) can be simplified using logarithmic properties. It can be rewritten as ( \log(x^2) + \log(y^3) - \log(z^4) ). Further simplifying each term gives ( 2 \log(x) + 3 \log(y) - 4 \log(z) ). Thus, the final expression is ( 2 \log(x) + 3 \log(y) - 4 \log(z) ).