Answer:
Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:
Therefore:
Now, cancel logarithms by taking exp of both sides:
Multiply both sides by 
and using distributive propierty:
Substract 
from both sides and factoring:
Multiply both sides by -1:
Split into two equations:
Solving for 
Add 4 to both sides:
Solving for 
Collect in terms of x and add 
to both sides:
Divide both sides by e-2:
The solutions are:
If we evaluate x=4 in the original equation:
This is an absurd because log (x) is undefined for 
If we evaluate in the original equation:
Which is correct, therefore the solution is:
Answer:
Denote 3 consecutive numbers as: (n-1), n, (n+1)
=> n - 1 + n + n + 1 = 498
=> 3*n = 498
=> n = 166
=> n + 1 = 166 + 1 = 167
=> 3rd number is 167
Answer:
-2h -16k
Step-by-step explanation:
-2(h+8k)
Distribute
-2h -2 *8k
-2h -16k
They failed to distribute the minus sign as well as the 2
Answer:. We assume, that the number 400 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 400 is 100%, so we can write it down as 400=100%.
4. We know, that x is 6.5% of the output value, so we can write it down as x=6.5%.
5. Now we have two simple equations:
1) 400=100%
2) x=6.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
400/x=100%/6.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.5% of 400
400/x=100/6.5
(400/x)*x=(100/6.5)*x -
400=15.3846153846*x -
400/15.3846153846=x
26=x
x=26
now we have:
6.5% of 400=26
Step-by-step explanation:This may help and if it does please thank me in the comments.
