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
Answer: m=44
Step-by-step explanation:
1/2m-3/4n = 16
1/2m-3/4(8) = 16
1/2m-24/4 = 16
1/2m-6 = 16
1/2m = 22
m=44
The answer should be 3, -1