Jan Ivanouw To solve the equation log⁡(m)=a+b⋅x follow these steps:

Given Equation:

log⁡(m)=a+b⋅x

Step 1: Isolate x

log⁡(m)−a=b⋅x

Step 2: Solve for x

Divide both sides by b(assuming b≠0:

x=[log⁡(m)−a]/b

Final Solution:

x=1/b[log⁡(m)]−a/b:

A small addition to the first solution:

(if in equation log(m) = a + b*x the symbol * represents multiplication?)

1) For m0 and b≠0 the solution is x=[log(m)−a]/b.

3) For m>0 and b=0, we have two cases:

a) if log(m) = a, the solution is every real x.

b) if it is log(m)≠a there is no solution.

Best Regards,

Zehra Nurkanovic

Thank You for the helpful answers (although I don't understand chinese)

In the equation log(m) = a + b*x, does the symbol * represent multiplication or exponentiation?

Symbol ^ is used for exponentiation?

The symbol * was ment to mean multiplication

https://www.cymath.com/answer?q=log(m)%20%3D%20a%20%2B%20b*x

Thank you, Jan Schulz.

Good to know this website.

Best