If 244^n= 1022^4 , find n
take logs of both sides. So,
n log244 = 4 log1022
n = 4log1022/log244 ≈ 5.04
It is good
If 244 wasn=1022find n
To find the value of n in the equation 244^n = 1022^4, we need to use logarithms to solve for n.
First, let's take the logarithm of both sides of the equation using the same base. A common choice is the natural logarithm (ln) or the logarithm base 10 (log).
Taking the logarithm base 10 of both sides, we have:
log(244^n) = log(1022^4)
By applying the logarithmic property log(a^b) = b * log(a), we simplify the equation to:
n * log(244) = 4 * log(1022)
Next, we rearrange the equation to solve for n:
n = (4 * log(1022)) / log(244)
Now, we can plug in the values into a calculator to obtain the numerical value for n.
Calculating log(1022) ≈ 3.0086 and log(244) ≈ 2.3874, we substitute these values into the equation:
n ≈ (4 * 3.0086) / 2.3874
Evaluating the expression, we find that n ≈ 5.043.
Therefore, in the equation 244^n = 1022^4, n is approximately equal to 5.043.