Question
Solve log 2x + log 12 = 3. Round to the nearest hundredth if necessary.
(1 point)
Responses
6,000
6,000
24,000
24,000
166.67
166.67
41.67
(1 point)
Responses
6,000
6,000
24,000
24,000
166.67
166.67
41.67
Answers
GPT 3.5
To solve the equation log 2x + log 12 = 3, we can combine the logarithms using the product rule:
log (2x)(12) = 3
log (24x) = 3
Now we can rewrite this in exponential form:
10^3 = 24x
1000 = 24x
x = 1000/24
x = 41.67
Therefore, the solution to log 2x + log 12 = 3 is x = 41.67. Rounded to the nearest hundredth, x ≈ 41.67.
So the answer is 41.67.
log (2x)(12) = 3
log (24x) = 3
Now we can rewrite this in exponential form:
10^3 = 24x
1000 = 24x
x = 1000/24
x = 41.67
Therefore, the solution to log 2x + log 12 = 3 is x = 41.67. Rounded to the nearest hundredth, x ≈ 41.67.
So the answer is 41.67.