The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.
The value of x is 3.
Given
The following expression:
![\rm log_3(x+12)=log_3(5x)](https://tex.z-dn.net/?f=%5Crm%20log_3%28x%2B12%29%3Dlog_3%285x%29)
<h3>
What properties for Logarithms are used to solve the equation?</h3>
The following properties are used in the logarithms equation given below.
The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.
The bases are equal, the arguments are also equal;
Therefore,
![\rm log_3(x+12)=log_3(5x)\\\\x+12=5x\\\\5x-x=12\\\\4x=12\\\\x=\dfrac{12}{4}\\\\x=3](https://tex.z-dn.net/?f=%5Crm%20log_3%28x%2B12%29%3Dlog_3%285x%29%5C%5C%5C%5Cx%2B12%3D5x%5C%5C%5C%5C5x-x%3D12%5C%5C%5C%5C4x%3D12%5C%5C%5C%5Cx%3D%5Cdfrac%7B12%7D%7B4%7D%5C%5C%5C%5Cx%3D3)
Hence, the value of x is 3.
To know more about logarithms properties click the link given below.
brainly.com/question/26053315
Answer:
160,170 and 240,250
Step-by-step explanation:
sorry if wrong
Answer:
Yards to Hours
Yards:Hour
0.75:1
Reasoning
For every 8 hours Jackson mows 6 yards, which is a rate of 0.75 yards per hour which is the proportion 0.75:1
Step-by-step explanation:
- Break it down
- Write a formula
<u>To make it easier for me to see, I'm going to rewrite it.</u>
Jesse can mow 3 yards in 8 hours. Jackson can mow twice as many per hour.
Breaking it down:
Jesse can mow 3 yards in 8 hours. Jackson mows twice as many yards per hour.
This means that in the same time it takes Jesse to mow 3 yards Jackson mows 6 yards. Defined by the equation of 2 x (Jesses Yards/Hours)
Jesse is at a rate of 3:8 Which 3/8 is 0.375
Jackson is at a rate of 6:8 which 6/8 is 0.75
The answer wishes to know per hour and so we can deduce Jesse mows 0.375ths of a yard while Jackson mows 0.75th of a yard per hour. Because we're not comparing the two the answer will just be Jacksons rate.
Hope this helps,
First, divide -5 on both sides:
(x + 7) < -2
Then subtract 7 on both sides:
x < -9
x < -9 is your final answer.
Answer:
It is $46 per video game because 92 divided by 2 is 46.
Step-by-step explanation: