The solution to the equation 3^5x-7=5^4x+3 is x = -5/191
How to determine the solution to the equation?
The equation is given as
3^5x-7=5^4x+3
Evaluate the exponents in the above equation
So, we have
243x - 7 = 625x + 3
Collect the like terms
So, the equation becomes
625x - 243x = -7 - 3
Evaluate the like terms
382x = -10
Divide both sides by 382
x = -10/382
Simplify
x = -5/191
Hence. the solution is x = -5/191
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