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:
45
Step-by-step explanation:
This would be represented by the function Y = -3x + 4 C:
just remember that your slope is your X value, and on a graph it is your rise over run. since -3 is your slope, you go down -3(your rise, you go down since it is negative) and over one. its a whole number instead of a fraction because -3/1 is simplified to -3. Your Y intercept is the added number in the end of the equation. Basically they are your values in the linear equation, which is Y = mx + b
Answer:
1. 8x2 - 7x + 4x3 - 2-3x2 + 9x - 4 = 16+2x
Step-by-step explanation:
1. Multiply all the multiplication problems (should look like this --> 16-7x+12-2-6+9x-4)
2. Calculate the sum or difference (should end up looking like this --> 16-7x+9x) and then into this (16 +2x)
Bringing us to the answer → <u>16 + 2x!</u>
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Answer:
Francine has just set up her Christmas tree. 40% of her ornaments are red. If she has 30 ornaments, then how many are red?
Step-by-step explanation: