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
Statistical questions are questions that are answered by collecting variable data, which can be given as an average/range/percentage. This question has a single answer, and therefore it is not a statistical question. A statistical question would be, for example, What is the average amount of time students in this class spend playing musical instruments?
123x - 23(-1 + x) = 14
Simplify.
123x + 23 - 23x = 14
Subtract 23 from both sides.
123x - 23x = 14 - 23
Simplify.
100x = - 9
Divide both sides by 100.
x = -9/100
~Hope I helped!~