Answer:
x = 2 and x = -8
Explanation:
Before we begin, remember that:
log (x) + log (y) = log (xy)
log x² = 2 log x
log₄ (4) = 1
Now, let's see the question we have:
For the left hand side:
log₄ x + log₄ (x+6) = log₄ x(x+6)
For the right hand side:
2 can be rewritten as:
log₄ (4)²
Now, equating the left hand side with the right hand side:
log₄ x(x+6) = log₄ (4)²
We can deduce that:
x (x+6) = (4)²
We will now solve for x as follows:
x (x+6) = (4)²
x² + 6x = 16
x² + 6x - 16 = 0
(x-2)(x+8) = 0
either x-2 = 0 ...........> x=2
or x+8 = 0 ..............> x = -8
Note: The negative solution is usually rejected as no log can hold a negative value. However, since it is not eliminated in the given choices, we will consider it as a potential solution
Hope this helps :)
<span> </span>
<span>998/1000
or
499/500 simplified
</span><span>pls rate and give me th brainliest answer xoxo</span>
altogether there are 7 marbles in the bag.
put the marbles in fractions, so blue would be 3/7
and red would be 4/7. but becuase you need 2 of the same, you do
3/7 x 3/7 = 9/49
4/7 x 4/7 = 16/49
then add them togther
25/49
if you need it as a percentage, it is
51.020408163265%
Answer:
decreased by 39%
Step-by-step explanation:
deacreased by
42.5-26= 16.5
16.5÷42.5=38.82352941
rounded to 39%