Answer:
Your answer is -3
Step-by-step explanation:
I had this on a test and i got it
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The potential solutions of
are 2 and -8.
<h3>Properties of Logarithms</h3>
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -

- Quotient Rule for Logarithms -

- Power Rule for Logarithms -

The exercise asks the potential solutions for
. In this expression you can apply the Product Rule for Logarithms.

Now you should solve the quadratic equation.
Δ=
. Thus, x will be
. Then:

The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
brainly.com/question/14868849
Two angles are said to be complementary, if the sum of the measures of the to angles is equal to 90 degrees.
Thus, given that HFG is complementary to ACB, them mHFG + mACB = 90 degrees.
From the figure, given that the line from point F meats line CE at point P, then HFG = CFP.
But mCFE = 90 degrees and mCFE = mCFP + mPFE
Also PFE = DFH
Thus, mCFE = mCFP + mPFE = mHFG + mDFH = 90 degrees
Recall that mHFG + mACB = 90 degrees
Thus, mHFG + mACB = mHFG + mDFH
Therefore, mACB = mDFH.