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Vanyuwa [196]
4 years ago
13

PLEASE ANSWER ASAP (exponential and logarithms)

Mathematics
1 answer:
Elina [12.6K]4 years ago
6 0

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

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