Question

PLEASE ANSWER ASAP (exponential and logarithms)

Answer 1

1.4650 (the first option in the list of possible answers)

Explanation:

Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:

`2+3^x=7\\3^x=7-2\\3^x=5`

Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":

`3^x=5\\x=log_3(5)`

In order to find this logarithm, we use the change of base formula:

`log_3(5)=(log(5))/(log(3)) =1.46497...`

which rounded to four decimals gives: 1.4650