My answer is B
Solve 2x + 3 = 7 (2 points)
Answer
x ≈ -5.19
x ≈ 0.94
x ≈ -0.19
x ≈ 2.81
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OpenStudy (anonymous):
x=2 :/
OpenStudy (anonymous):
Minus three from both sides, then divide both sides by 2.
Then \(x=2\)
OpenStudy (campbell_st):
is this a log question..?
OpenStudy (anonymous):
The answer is D because it is approximately 2.
OpenStudy (anonymous):
yeah I got x = 2 as well but this is Solving Exponential Equations with Unequal Bases
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OpenStudy (campbell_st):
so the question is
\[2^{x + 3} = 7\]
OpenStudy (anonymous):
yes
OpenStudy (johnweldon1993):
ahhh...a log question...that makes sense lol...take the logs of both sides
(x+2) log2 = log 7
distribute the log2
then simplify
OpenStudy (campbell_st):
take the log of both sides
and using the lag laws for powers you get
\[(x + 3) \log(2) = \log(7)\]
divide both sides by log(2)
\[x + 3 = \frac{\log(7)}{\log(2)}\]
now subtract 3 from both sides
\[x = -3 + \frac{\log(7)}{\log(2)}\]
just type it into a calculator for the answer
OpenStudy (johnweldon1993):
sorry for the typo...i meant (x+3)
do as @campbell_st has shown :)
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