The common logarithm of a number is the exponent to which 10 must be raised to equal that number. In this case, the common logarithm of 0.072 is -1.1438. This is because 10 raised to the power of -1.1438 is approximately equal to 0.072.
[ln(2) + i*pi]/ln(10) if you are referring to log as a base 10 log. ln refers to thenatural logarithm (log base e)The log of any negative number is imaginary. The formula above is derived fromthe relationship:-1 = ei*pisince you want log of -2, multiply both sides by 2-2 = 2*ei*pitaking natural logarithm of both sides: ln( -2) = ln(2*ei*pi ) = ln(2) + ln(ei*pi )which reduces to ln(2) + i*piIf you want log10 then divide both sides by ln(10)So log10(-2) = ln(-2)/ln(10) = [[ln(2) + i*pi]/ln(10)x = log (-2) = log10(-2)10x = -2Think about the smallest possible number you can put in for x.10-∞ = ?10-∞ = 1/10∞10∞ = ∞1/∞ = ?1/∞ = 0It is impossible to ever get 0 or a negative number because you will never reach infinity.log(-2) is undefined
12/pi is equal to 12/pi, 12/3.14 (most common rounding of Pi) is about 3.822
Circumference = pi D = 10 pi inchesEach side of the square = (10 pi) / 4 = 2.5 pi = 7.854 inches (rounded)or 7.9 inches, to the nearest 1/10th inch
You will need 14 two's multiplied together to equal 16384. the answer to this can be found by log2(16384) = 14. Since most calculators don't have log base 2, you can do this: log(16384)/log(2) = 14. You can use the 'base 10' log or natural log [ln(16384)/ln(2) = 14]
By Euler's formula, e^ix = cosx + i*sinx Taking natural logarithms, ix = ln(cosx + i*sinx) When x = pi/2, i*pi/2 = ln(i) But ln(i) = log(i)/log(e) where log represents logarithms to base 10. That is, i*pi/2 = log(i)/log(e) And therefore log(i) = i*pi/2*log(e) = i*0.682188 or 0.682*i to three decimal places.
Assuming you are asking about the natural logarithms (base e):log (-1) = i x pithereforelog (log -1) = log (i x pi) = log i + log pi = (pi/2)i + log pi which is approximately 1.14472989 + 1.57079633 i
logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)logpi100 = log10100/log10pi = 2/log(pi) = 4.02293 (approx)
98.596
Take logs to base '10' Hence log(10)1024 = log(10)2^(n) log(10)1024 = nlog(10)2 n = log(10)1024 / log(10)2 n = 3.0103 / 0.30103 Divide n = 10 Hence 2^(10) = 1024
The common logarithm of a number is the exponent to which 10 must be raised to equal that number. In this case, the common logarithm of 0.072 is -1.1438. This is because 10 raised to the power of -1.1438 is approximately equal to 0.072.
[ln(2) + i*pi]/ln(10) if you are referring to log as a base 10 log. ln refers to thenatural logarithm (log base e)The log of any negative number is imaginary. The formula above is derived fromthe relationship:-1 = ei*pisince you want log of -2, multiply both sides by 2-2 = 2*ei*pitaking natural logarithm of both sides: ln( -2) = ln(2*ei*pi ) = ln(2) + ln(ei*pi )which reduces to ln(2) + i*piIf you want log10 then divide both sides by ln(10)So log10(-2) = ln(-2)/ln(10) = [[ln(2) + i*pi]/ln(10)x = log (-2) = log10(-2)10x = -2Think about the smallest possible number you can put in for x.10-∞ = ?10-∞ = 1/10∞10∞ = ∞1/∞ = ?1/∞ = 0It is impossible to ever get 0 or a negative number because you will never reach infinity.log(-2) is undefined
i * pi / 2.
It equals 0.4971
Log 2 is the exponent to which 10 must be raised to equal 2, which is approximately 0.301.
Pi goes on forever. However, most people equal pi to 3.14. Whenever you multiply something by 10, you move the decimal place one to the right. So, in this case, the answer would be 31.4.
E=mc2 =0.111x 300,000,000x 300,000,000= 10,000,000,000,000,000 (10 quadrillon) joules.