Question

2^(x+3)=7
a. -5.19
b.0.94
c. -0.19
d. 2.81

Answer 1

x=(log7 base 2)-3

Answer 2

i can get to that point but then i get stuck

Answer 3

2^3=8
2^n=7
hence n< 3. the answer is negative one. try out more

Answer 4

You are looking for a number, x+3, that when used as an exponent with base 2 gives 7.
So this is the case: \[x+3=\log_{2}7 \].If you wish, you can use the calculator again, to get this log: ln(7)/ln(2), which is about 2.807.
Now all you have left to do is subtracting 3 from this number, (because we've found x+3), so the answer must be -0.193. The right answer is c.
Do you understand?

Answer 5

yes thank you