what is the logarithmic form of 3 to the 2nd power=9
log(3) 9 = 2
The 3 that I put in ( ) should be lowered to a subscript.
log3 9 = 2 ---> log form
3^2 = 9 ----> equivalent exponential form
The logarithmic form of an equation is used to represent how an exponent relates to a base number. To find the logarithmic form of 3 to the 2nd power equaling 9, we need to answer the question: "What exponent (power) do we need to raise the base number 3 to in order to obtain the result 9?"
To find the exponent, we can use the logarithm function. In this case, we are looking for the base-3 logarithm of 9. The logarithm function with a base of 3 can be written as log₃.
Using this information, we can express the equation 3 to the 2nd power equaling 9 in logarithmic form as:
log₃ 9 = 2
This means that when we raise 3 to the power of 2 (which equals 9), the result can be expressed as log₃ 9, where the logarithm base is 3 and the exponent is 2.