Question

Given the exponential equation 3x = 243, what is the logarithmic form of the equation in base 10?

x = log base 10 of 243, all over log base 10 of 3

x = log base 10 of 3, all over log base 10 of 243

x = log base 2 of 3, all over log base 2 of 243

x = log base 2 of 243 all over log base 2 of 3

Answer 1

use the change of base rule


loga b = logx b
------
logx a

Answer 2

x = log to base 3 of 243

x = log3 243

now apply the rule using 10 as the base