Can one use logarithms to solve the equations 2=3^x+x and 2=3^x x? Could someone explain how would you solve: 2=3^x+x and 2=3^x⋅x I can only solve halfway through. And why is 10^(log(x))=x Thanks
HypeMyday3m
Answered question
2022-09-25
Can one use logarithms to solve the equations and ? I can only solve halfway through. And why is
Thanks
Answer & Explanation
Genesis Rosario
Beginner2022-09-26Added 11 answers
By definition, a log is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. Below is a simple example,
So
And
Generally
Also, the solutions to both of those problems cannot be found using elementary functions. To solve these equations, we must use the Lambert W function. This function will provide the value of in equations that take the form