Question

given the exponential equation 2x=8, what is the logarithmic form of the equation in base 10

Answer 1

i dont see how 2x=8 is an exponential equation o.o

Answer 2

\(\large\color{midnightblue}{ \rm 2^x=8 }\)

Use the following rule, \(\large\color{midnightblue}{ \rm Log_AB=C ~~~~~->~~~~~~~~~A^C=B }\)

Answer 3

Or you can say

\(\large\color{midnightblue}{ \rm 2^x=8 }\)
\(\large\color{midnightblue}{ \rm 2^x=2^3 }\)
\(\large\color{midnightblue}{ \rm x=3 }\)

Answer 4

You just need logarithm form of this equation, so I don't think solving for x is necessary. Just use log rule SolomonZelman showed you.

Answer 5

hmm, base have to be 10

Answer 6

so would it be log2 8/log2 10?

Answer 7

given
2x = 8 as above 8 = 2^3
log (base 2) 2x = 3
to convert to base 10
log (base 10) 2x divided by log (base 10) 2 = 3