Question

What is the solution to the equation below? Round your answer to two

decimal places.
24•log(3x) = 60
A. x = 105.41
B. x = 316.23
C. x= 316.23
D. x = 224.54

Answer 1

x = 105.41

Explanation:

24•log(3x) = 60

Divide by 24

log (3x) = 60/24

log (3x) = 5/2

Raise each side to the power of 10

10 ^ log (3x) = 10^5/2

3x= 10 ^5/2

Divide by 3

3x/3 = 1/3 * 10 ^ 5/2

x = 1/3 (100 sqrt(10))

x=105.40925

To two decimal places

x = 105.41