Write b^5x=a in logarithmic form.

Question

Write b^5x=a in logarithmic form.

Answer 1

A logarithm is an exponent. Since b is the base, this can be rewritten as:

 

log_ba = 5x (when the base b is raised to the power 5x , the value a is generated)

 

Note that in previous answer ln a / ln b does not equal ln (a-b). Likely being confused with ln (a/b) = ln a - ln b.

Answer 2

Take the log on both sides

 

5x ln b = ln a

 

5x = ln a / ln b

 

x = ln (a - b) / 5

 

hope this helps.