<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Answer: The answer choice on the left, AKA the first one.
Step-by-step explanation:
Answer:
x = 175 km
Step-by-step explanation:
We can use ratios to solve this problem. Put the map distance over the real life distance.
1 cm 7 cm
-------- = ---------
25 km x km
Using cross products.
1 * x = 7 * 25
x = 175 km
Answer:
The answer is A and C
Step-by-step explanation:
The answer is A because 12.3 multiplied by 10 is 123, and 0.4 multiplied by 10 is 4.
12.3 * 10 = 123
0.4 * 10 = 4
So, this shows that this equation is the same as 12.3 divided by 0.4
The answer is C because 12.3 multiplied by 100 is equal to 1230, this is the same for 0.4
12.3 * 100 = 1230
0.4 * 100 = 40
So, the answer is both A and C.
Hope this helps! :)