Question

Which expression has a greater value: log3 1/3 or logb 1/b? Explain how you know.​

Answer 1

log3 1/3 = logb 1/b

(Both expressions are equal)

Explanation:

Now we have to,

→ find the expression with greater value.

Then the greatest value is,

→ log3 1/3 = logb 1/b

→ log3 3^(-1) = logb b^(-1)

→ -1 = -1

→ [ LHS = RHS ]

Hence, both have same value.

Answer 2

• They are equal

Explanation:

Given

• 
  `log_3 1/3 \ and\ log_b 1/b`

Compare the expressions

• 
  `log_31/3=log_33^(-1)=-1`
• 
  `log_b1/b=log_bb^(-1)=-1`

As we see the two expressions are equal in value