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
Step-by-step explanation:
18 percent of 120 is 21.6
Answer:
The number of months after which amount paid to two fitness clubs be the same is 10
Step-by-step explanation:
Given as :
The charge of Mikes fitness center = $30 per month fro membership
The charge of All-Day fitness center= $22 per month fro membership + $80
initiation charge
Let The number of months after which amount paid to each club be same = x
So, According to question :
30 x = 22 x + 80
Or, 30 x - 22 x = 80
Or, 8 x = 80
So x =
∴ x = 10
Hence The number of months after which amount paid to two fitness clubs be the same is 10 Answer
PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor.
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR
Prove:
△RST ≅ △RSQ
missing side is
mi .
<u>Step-by-step explanation:</u>
Here we have the following info from the figure: A right angled triangle with following dimensions



By Pythagoras Theorem :

⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, missing side is
mi .