<span>c. 100x^8 because the square root or 10k is 100 and 64 is 8
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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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<span>1.
The current ratio (assets/liabilities) of company X is 3.1. Given that
the current assets are $186000, find the current liabilities:
Assets = A
Liabilities = L
A / L = 3.1 => L = A / 3.1
A = 186000 => L = 18600 / 3.1 = 6000
Answer: $ 6000
2. The board of directors determines that the current ratio must never
be below 2.6. What is the maximum amount that the company can borrow?
A/L ≥ 2.6
=> L ≤ A / 2.6
=> L ≤ 186000 / 2.6
L ≤ 71538.46
Answer: $71538.46
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