Exponential Equation Solver

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Exponential equation solver is a very effective tool in solving the exponential equations. Exponential equation generally comprises of same base, which is really ease to evaluate, only understanding of exponential properties is required.  But in case of different bases, it is little difficult to solve but if logarithmic function understanding is clear, it is also to evaluate the exponential equation with different bases. This tool is generally used in various types of applications. Hence this tool is very effective in solving the complex problem in a very easy manner. This can be more clarified by the relevant examples which are shown below:-

Question 1:-Find the value of x if 5 ^ (6x) = 25 ^ (5x + 8)

Solution 1:- Given 5 ^ (6x) = 25 ^ (5x + 8)

Now 5 ^ (6x) = (5^2) ^ (5x+8)
         
So 5 ^ (6x) = 5^ (10x+ 16)

Now bases are same, so the exponents are also equal, therefore

6x = 10 x + 16

6x -10x = 16

-4x = 16

Hence x = -16/4 = -4
 
Question 2:- Find the value of x if 4 ^ (2x) = 16 ^ (5x + 8)

Solution 2:-   Given 4^ (2x) = (4^2) ^ (5x+8)

So 4^ (2x) = 4 ^ (10x +16)

Now bases are same, so the exponents are also equal, therefore

2x = 10x + 16

2x – 10x = 16

-8x = 16

So x = -16/8 = -2

Hence the value of x in above equation is -2.
 
 
 

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