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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2. the scale factor is x= 4.5 cm
this is because when u see how much it dilated from 4cm to 2cm it divided from 2, so if u did the same for the other number. Which is 9, it’s 9/2 which equals 4.5
The lines y = 2x - 1 and y = -2x + 3 intersect at exactly one point which means this system has exactly one solution. so the system is consistent and independent
Answer:
6 2 6 2 6 6 1
Step-by-step explanation:
just did it on ed.
The third one is the correct choice because the solutions are 2 and -2