1.) Write in exponential form.
log16 8=3/4
2.) Write in logarithmic form.
3^4=81
raise 16 to the power on both sides. That gives
8 = 16^(3/4)
take log base 3 on both sides
4 = log_3(81)
This is because blogbN = N
logbbN = N
1.) To write the given equation in exponential form, we need to understand the definitions of logarithms. The logarithm of a number is the exponent to which another fixed number, called the base, must be raised to produce that number. In this case, we have log base 16 of 8 equals 3/4. This means that 16 raised to the power of (3/4) gives us 8. So the exponential form of the equation is 16^(3/4) = 8.
2.) To write the given equation in logarithmic form, we need to understand the definition of logarithms. The logarithmic form of an equation is used to represent the exponent or power to which the base is raised to obtain the given result. In this case, we have 3^4 = 81. This means that the logarithm base 3 of 81 equals 4. So the logarithmic form of the equation is log base 3 of 81 = 4.