The solution of the given exponential equation is 0.688.
Given that Mike is working on solving the exponential equation 37ˣ = 12.
An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.
firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:
aˣ = y
logₐy = x
Now, we will apply this transformation to our equation and we get
log₃₇12=x
Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:
x=log12/log37
So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:
x≈1.079/1.568
x=0.688
Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.
Learn more about exponential equation from here brainly.com/question/24162621
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Answer: C) Tracy spends $7 every 4 days
Graphing the function as well as x = 4 will show that there is a difference in the y-value of 7 between x=0 and x=4, meaning she spends $7 every 4 days.
i would say h or j, but I’m more towards j :)))
Answer:
A.
I say this is the answer because if she has gotten into a habait of buying and breaking glasses,shes just very careless
Given:
The figure of triangle ABC.
The area of the triangle ABC is D.
To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:
Where, b is the base and h is the height of the triangle.
The area of the triangle ABC is D.
...(i)
In a right angle triangle,
[Using (i)]
...(ii)
We have,
...(iii)
On comparing (ii) and (iii), we get
Therefore, the required values are 
.
