Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
Answer:
Multiply the first bracket by 3
Multiply the second bracket by -2
3x+3=-2x+2-4
3x+2x+3=-2x-2 negative (-) number and positive number (+)= negative number
Just rearranging
5x+3=-2
5x+3-3=-2-3
5x=-5
Dividing by 5
5x/5=-5/5
x=-1
Check answer by using substitution method
3(-1+1)=-2(-1-1)-4
0=-2(-2)-4 negative number and negative number = positive number
0=4-4
0=0
Answer is x=-1
Answer:
Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.
Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.
