The common denominator is 2
LnA +LnB= LnA.B
so we get <span>Log3(X-5)+log3(x+3)=Ln3(x-5)(x+3)=2 implies
</span>(x-5)(x+3)=2^3=8, so we can solve easily the quadratic equation
x^2-2x-23=0, there are two solution x=1 -sqrt(24), and x=1+sqrt(24)
Answer:
10000 metres
Step-by-step explanation:
You calculate by multiplying the number of metres in the ratio by 10 centimetres.
Your answer should come out to 10000 (10:10000)
Answer:
(goh) (0) = 4
Step-by-step explanation:
Given that,
g(x) = 2x
h(x) = x² + 4
We need to find the value of (goh) (0).
Firstly we find (goh),
(goh) = g(h(x))
=g(x²+4)
(goh) (0) = 0²+4
=4
Hence, the required answer is 4.
<span>3sinx+4cosx=5
=> 3/5 sinx +4/5 cosx = 1
let cosA=3/5 => sinA=4/5
=> cosAsinx + sinAcosx = 1
=> sin(x+A) = 1
Now,
4sinx - 3cosx
= 5(4/5sinx - 3/5 cosx) [multipying numerator and denominator by 5]
= 5(sinAsinx - cosAcosx)
= -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0 Ans 0
TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)
this method is useful in many questions </span>
