Respuesta :
Answer:
x = −3
Step-by-step explanation:
The equation is
log(2x + 6) + 8 = 3
We combine first subtract 8 on both sides
log(2x + 6) + 8-8 = 3 -8
log(2x + 6) = -5
The log is to base 10
Thus;
10 ⁻⁵ = 2x + 6
0.00001 = 2x + 6
2x = 0.00001 -6
2x = -5.99999
Dividing both sides by 2
x = - 2.999995
≈ - 3
Answer:
x=-3
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes [tex]10^{-5} = 2x+6[/tex]
subtract 6 from both sides
[tex]2x= 10^{-5} -6[/tex]
Now we divide by 2 on both sides
x= -3 approximately
