Question

30 POINTS! NEED HELP ASAP

1.
Solve for x and type your answer as simply an integer or decimal value. If you can't type the number exactly, round to 4 decimal digits. Solve for x: log (7x - 10) = 2

2.Solve for x and type your answer as simply an integer or decimal value. If you can't type the number exactly, round to 4 decimal digits. If it's a fractional value, put a 0 in front of the decimal. (Hint: Do you remember how to take a root on your calculator?) Solve for x: log 3 - 3 log x = 2
3. Solve for x and type your answer as an integer or decimal value. If you can't type the number exactly, round to 4 decimal digits. If it's a fractional value, put a 0 in front of the decimal. (Hint: Do you remember how to take a root on your calculator?) Solve for x: log 5 + log x = -2



3.

Answer 1

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