3 years ago

Identify a solution of the equation: log2x+log(x−5)=2

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

3.x= 10

Step-by-step explanation:

log 2x + log (x - 5) = 2
log (2x(x - 5)) = 2
2x(x - 5) = 10²
2(x² - 5x) = 100
x² - 5x - 50 = 0
x² + 5x - 10x - 50 = 0
x(x + 5) - 10(x + 5) = 0
(x - 10)(x + 5) = 0
x = 10
x = -5, this root is discounted as log should be positive.

Correct choice is 3.

You might be interested in

The product y = Ax of an m × n matrix A times a vector x = (x1, x2, . . . , xn) T can be computed row-wise as y = [A(1,:)*x; A(2

steposvetlana [31]

Answer: m × n matrix A times a vector x = (x1, x2, . . . , xn) T can be computed row-wise as ... .m file function y = myrowproduct(A,x) y=[]; [r1 c1]=size(A); [r2 c2]=size(x); if ... The product y Ax of an m x n matrix A times a vector x (ri,z2, ...,zn)T can be ... Repeat with a 3 x 4 matrix and a 4 x 1 vector and with a 3 x 4 matrix and a 1 x ...

Step-by-step explanation:

6 0

4 years ago

7. A computer shop sold $356,291 worth of computers. It

Gala2k [10]

Answer:

none. they have already sold exactly $400,000 worth of computers and accessories

7 0

2 years ago

Jenna is driving 400 miles to visit her grandmother. She manages to travel the fist 100 miles of her trip in two hours. If she c

Yakvenalex [24]

Answer: