What is the value of log0.5 16 (0.5 is the small bottom number)-4.00-0.251.512.41

Answer : -4.00

what is the value of  

We use log property to find the value

16 = 2*2*2*2 = 2^4

So we replace 16 by 2^4

As per log property we move exponent before log

0.5  can be written as 1/2 . 1/2 can be written as 2^-1

Now we apply change of base formula

Move the exponent -1 before log

log 2 will get cancelled

-4

-4.00 is the final answer

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15