Solve the equation. Round to the nearest hundredth.
5(1.2)^x = 30
a. (x \approx 9.83)
b. (x \approx 5.00)
c. (x \approx 6.00)
d. (x \approx 30.00)

Question

Solve the equation. Round to the nearest hundredth. 5(1.2)^x = 30 a. (x \approx 9.83) b. (x \approx 5.00) c. (x \approx 6.00) d. (x \approx 30.00)

SnapAndSolve AI · Accepted Answer

To solve the equation 5(1.2)^x = 30, first divide both sides by 5:

(1.2)^x = 6

Now, take the logarithm of both sides:

log((1.2)^x) = log(6)

x * log(1.2) = log(6)

x = log(6) / log(1.2)

Calculating this gives:

x ≈ 9.83

The correct answer is a. (x \approx 9.83)

Solve the equation. Round to the nearest hundredth. 5(1.2)^x = 30 a. (x \approx 9.83) b. (x \approx 5.00)...