Answer:
3log(X)=3.3 ⇒ x = 12.59
In(x)-7=-3.2 ⇒ x = 44.70
10e^x=140 ⇒ x = 2.64
10^2x=33 ⇒ x = 0.76
Step-by-step explanation:
It says to solve each equation for x and round the answer to the nearest hundredth.
Equation #1: 3log(X)=3.3.
3log(X)=3.3
Dividing both sides by 3 :-
log(x) = 3.3/3 = 1.1
Taking antilog on both sides :-
x = 10^(1.1) = 12.58925412 ≈ 12.59
x = 12.59
Equation #2: In(x)-7=-3.2.
In(x)-7= -3.2
Adding 7 on both sides :-
ln(x) = -3.2 + 7 = 3.8
Taking antilog on both sides :-
x = e^(3.8) = 44.70118449 ≈ 44.70
x = 44.70
Equation #3: 10e^x=140.
10e^x=140
Dividing both sides by 10 :-
e^x = 14
Taking Natural Log on both sides :-
x = Ln(14) = 2.63905733 ≈ 2.64
x = 2.64
Equation #4: 10^2x=33.
10^2x=33
Taking Log base 10 on both sides :-
2x = Log(33) = 1.51851394
Dividing both sides by 2 :-
x = 1.51851394 / 2 = 0.759256969 ≈ 0.76
x = 0.76
