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Now we will discuss as solving logarithmic equations, or equations along with logarithms in them. We will be looking at two particular types of equations here. In specific we will look at equations wherein every term is a logarithm & we also look at equations wherein all but one term in the equation is a logarithm & the term without the logarithm will be a constant. Also, we will be supposing that the logarithms in each of the equation will have the similar base. If there is more than one base in the logarithms into the equation the solution procedure becomes much more difficult.
Before we get into the solution procedure we will have to remember that we can just plug +ve numbers into a logarithm.
Now, let's begin by looking at equations wherein each term is a logarithm and all the bases on the logarithms are the similar. In this case we will employ the fact that,
If logb x = logb y then x = y
In other terms, if we've got two logs in the problem, one on either side of an equal sign & both with a coefficient of one, after that we can just drop the logarithms.
Susan wants to mix 10 pounds of Virginia Peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that cost $3.40 a pound. How many pounds
#ques1). Using the function: y=y0,(.90)^t-1. In this equation y0 is the amount of initial dose and y is the amount of medication still available t hours after drug is administered.
Two cars start out at the similar point. One car starts out moving north at 25 mph. later on two hours the second car starts moving east at 20 mph. How long after the first car s
3+n=11
(a+7b)7
(-11,-3),(0,-7)
the table shows the number of minutes of excirccise for each person compare and contrast the measures of variation for both weeks
the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface
2.6M-2=M+13
Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution
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