যদি হয়, তবে x এর মান কত?
If N = b^x, where b is a positive integer greater than 1, then the value of x can be found by taking the logarithm of both sides of the equation with base b.
log_b(N) = log_b(b^x)
Using the logarithmic identity, we can simplify the right-hand side of the equation:
log_b(b^x) = x
Therefore, the value of x is:
x = log_b(N)
So, if you know the value of N and the base b, you can use the logarithm function to find the value of x.
If N = bx (b > 0, b ≠ 1), then what is the value of x?
To solve this problem, we'll proceed with the necessary elements:
N = bx
We want to determine the value of x. So, we take the logarithm of both sides of the equation:
logb N = logb bx
Now, applying the logarithmic property, we can simplify the equation:
x = logb N / logb b
Here, we know that logb b = 1 (the logarithm of a base with the same base is always equal to 1). So, we can simplify it further:
x = logb N / 1
x = logb N
Therefore, the value of x is equal to logb N.
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