Solve for x. Round to the nearest hundredth.

3log (X) = 3.3. In (x) - 7=-3.2. 10e^x=140. 10^2x=33.

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