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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.
If you sell a kayak for $400 and your sales per day averages $5200. Assume the sales per day is a linear function of price of kayak. write an equation describing the relationship.
f(x)=x square. graph g(x) by translating the graph of f. g(x) = x square + 1
10x-25y+5=0
Dependent system example Example: Solve the given system of equations. 2x + 5 y = -1 -10x - 25 y = 5 Solution In this instance it looks like elimination would b
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(m2-3m-10)/(m-5)
-6k+7k
If x+y=7 and xy=10 find x2+y2
larry has a propane tank in the shape of a cylinder with a hemisphere on each end, the total length of the tank is 16 feet. the width of the tank is 6 feet. he intends to paint the
what are the steps to find the quotient of two rational expressions?
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