Equivalent equations are equations that have the same value
The equation in logarithmic form is 
<h3>How to rewrite the equation</h3>
The expression is given as:
Take the logarithm of both sides
Apply the power rule of logarithm
Divide both sides by log(10)
Apply change of base rule
Divide both sides by 2
Rewrite as:
Hence, the equation in logarithmic form is
Read more about logarithms at:
brainly.com/question/25710806
see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
<span>Equation at the end of step 1 :</span><span><span> (((4•(y2))-5y)+(3y-(7•(y2))))-((2y2+6y)-5)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((4•(y2))-5y)+(3y-7y2))-(2y2+6y-5)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> ((22y2 - 5y) + (3y - 7y2)) - (2y2 + 6y - 5)
</span><span> Step 4 :</span><span> Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> -5y2 - 8y + 5</span> = <span> -1 • (5y2 + 8y - 5)</span>
I hope tht help
Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11
Explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.
We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II
Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11
Substitute with y in equation I to get the value of x as follows:
x = 33 - y
x = 33 - 11
x = 22
Hope this helps :)
