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:
36 ft
Step-by-step explanation:
<u>Given </u><u>:</u><u> </u>
We need to convert it into feets. We know that ,
1 yard = 3 feet
12 yards = 12 * 3 ft
12 yards = 36 ft .
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>36</u><u> </u><u>feets </u><u>.</u>
Answer:
y=|x-1|-1
Step-by-step explanation:
hope that helps :)
Answer:
true
Step-by-step explanation: