This equation uses two properties of logarithms:
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
Answer:
No solutions
Step-by-step explanation:
31 times any positive number cannot be a negative number.
Answer:
x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
Step-by-step explanation:
(x3 + 2x - 1) (x4 - x3 + 3)
= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3
= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
Answer:
depends on how many miles you can go on 1 mile.
Answer:
Step-by-step explanation:
1 sandwich is 6.25 (because 31.25/5)
2 sandwiches is 12.5
3 sandwiches are 18.75
4 sandwiches are 25
5 sandwiches are 31.25
6 sandwiches are 37.5
Amy - 8s + 12
8(6.25) +12 = 62
Amy paid $62.
Bob - 8(s + 2)
8(6.25 + 2) = 66
Bob pays $66.
Cathy - 4(2s + 3)
4(2 x 6.25 + 3) = 62
Cathy paid $62.