Finding the value of an expression with logarithms Given that log_b a=0.74 and log_b(a−1)=0.65 find the value of the following expression: log_b(a^4−1)−2 log_b(a^2+1)+log_b(a^3+a)−log_b(a+1) I tried using log laws to no avail. Help Is much appreciated!

Ciara Rose

Ciara Rose

Answered question

2022-07-16

Finding the value of an expression with logarithms
Given that log b a = 0.74 and log b ( a 1 ) = 0.65 find the value of the following expression:
log b ( a 4 1 ) 2 log b ( a 2 + 1 ) + log b ( a 3 + a ) log b ( a + 1 )
I tried using log laws to no avail. Help Is much appreciated!

Answer & Explanation

uavklarajo

uavklarajo

Beginner2022-07-17Added 17 answers

Using log c ( A i ) = log c ( A i ) ,
the given expression can be reduced to
log b ( a 2 + 1 ) + log b ( a + 1 ) + log b ( a 1 ) 2 log b ( a 2 + 1 ) + log b ( a 2 + 1 ) + log b ( a ) log b ( a + 1 )
= ?

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?