can you show me how to log 36=x
Certainly! To solve the equation 36 = x, we can use logarithms.
The logarithm is the inverse operation of exponentiation. In this case, we are looking for the value of x when 36 is the base and exponentiation is the operation.
To find x, we can take the logarithm of both sides of the equation with 36 as the base. The logarithm with base 36 is denoted as log₃₆.
So, applying the logarithm to both sides of the equation, we get:
log₃₆(36) = log₃₆(x)
The logarithm with base 36 of 36 is equal to 1 since any number raised to the power of 1 remains the same. Therefore, the equation simplifies to:
1 = log₃₆(x)
Now, to isolate x, we need to remove the logarithm. We can do this by applying the exponentiation operation.
In this case, exponentiating both sides with base 36, we get:
36^1 = 36^log₃₆(x)
Since 36 to the power of 1 equals 36, the equation simplifies to:
36 = x
Therefore, the solution to the equation 36 = x is x = 36.