How can i write this in log form
5^-2 = 0.04
log(5^-2) = log(0.04)
-2log5 = log.04
To write 5^-2 = 0.04 in log form, you need to remember that logarithms are used to express exponentiation in a different way.
In this case, the logarithm base is 5. So, the logarithmic expression for 5^-2 = 0.04 would be:
log base 5 of 0.04 = -2
To write the equation 5^-2 = 0.04 in log form, you need to understand the relationship between logarithms and exponentials.
In general, a logarithm is the inverse operation of exponentiation. It represents the power to which a base must be raised to obtain a given value.
The log form of an equation typically has the format: log[base](value) = exponent.
In the given equation: 5^-2 = 0.04, the base is 5, the exponent is -2, and the value is 0.04.
To write this equation in log form using base 5, you can express it as follows:
log[5](0.04) = -2