If log_3^7 =x , then log_7^9 in terms of x

kurvaeranna567

kurvaeranna567

Answered question

2022-06-25

  •  
     
      
      
      

 

 

Answer & Explanation

Vasquez

Vasquez

Expert2023-05-22Added 669 answers

To find the expression for log79 in terms of x, we can use the change of base formula for logarithms. The change of base formula allows us to express a logarithm with one base in terms of logarithms with another base.
The change of base formula states that for any positive real numbers a, b, and c, we have:
logac=logbclogba
In this case, we want to express log79 in terms of x, where x=log37.
Using the change of base formula, we can rewrite log79 as:
log79=log39log37
Now, we substitute x=log37 into the expression:
log79=log39x
Simplifying the expression, we have:
log79=log39x
Therefore, the expression for log79 in terms of x is log39x.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?