Answer: b and c cuz an equation always has an equal sign
Step-by-step explanation:
1. Answer: 15.7143
log (7x-10)=2
Use the identity: loga(x)=b = x=(a)(b)
7x-10=10^2
Evaluate the Power
7x-10=100
Addition Property of Equality
7x=110
Division Property of Equality
x=110/7 or 15.7143
2. Answer: 0.3107
log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107
3. Answer: 0.002
log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500
Answer: 0.002
Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps
1.) x=-9 because
2.) x=16
Answer:
T= -10.8
Step-by-step explanation:
Ok so I don't know if you have done this in class, but the way my teacher taught me is to isolate the variable. In this case the variable is t, to isolate t we have to do the opposite of what is going on. So it is t divided by 4.5. The opposite of that is multiplying by 4.5. Once you multiply by 4.5 the division and multiplication cancels out leaving you with t.
You are not done; however you have to multiply both sides by 4.5 because if you don't then the sides aren't equal. So when you multiply 2.4 by 4.5, you get 10.8.
However, there is still one final step. You have -t=10.8, so to find t we have to multiply both sides by -1.
This leads t to equal -10.8
Answer:
1)Find the prime factorization of 242
242 = 2 × 11 × 11Step-by-step explanation:
2)Find the prime factorization of 132
132 = 2 × 2 × 3 × 11
3)To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 11
The lost one 4) GCF = 22
