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

\(\large\color{black}{ \rm 3^{x}=243 }\)

USE, \(\large\color{black}{ \rm a^{b}=c~~~~~~->~~~~~~~log_ac=b }\)

Answer 2

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 3

no its none of the answer choices you gave us

Answer 4

\[a^y=x\] is equivalent to \[\log_{a} x=y\]

so you gave us i believe 3^x=243 so 3=a, x=y, and 243=x

Answer 5

you may want to rewrite your question as 3^y=243 so that y=y and there is no confusion