Question

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

x = log base 2 of 64, all over log base 2 of 4
x = log base 2 of 4, all over log base 2 of 64
x = log base 10 of 64, all over log base 10 of 4
x = log base 10 of 4, all over log base 10 of 64

Answer 1

x=64/4
taking log base 2
log x=log(64/4)
log x= log 64 -log 4
log x=6 log 2-2 log 2