Thomas goes to summer camp every year if his parents drive 155 miles to Camp to drop him off and then go back to pick him up in
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x = 3 or x = 1
note that log 5 is usually taken to mean 5
using the law of logarithms
logx - logy = log ()
the right hand side can be expressed as
log 10000 - log 16 = log () = log 625
divide both sides by log 5
x² - 4x + 7 = = 4
subtract 4 from both sides
x² - 4x + 3 = 0 ← in standard form
(x - 3 )(x - 1) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
Consider, 
. Let's say 
then the problem reduces to 
. (Do you understand this step?)
So then replacing a again with our definition we get,
.
So then replacing a again with our definition we get,