Question

PLEASE ANSWER ASAP (exponential and logarithms)

Answer 1

Answer:

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

Step-by-step 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:

$log_3(5)=\frac{log(5)}{log(3)} =1.46497...$

which rounded to four decimals gives: 1.4650