Final answer:
To condense logarithmic expressions, we can use the rules of difference and sum of logarithms.
Step-by-step explanation:
To condense logarithmic expressions, we can use the following rules:
- The difference of logarithms is equal to the logarithm of the quotient.
- The sum of logarithms is equal to the logarithm of the product.
a) Using the first rule, we have:
log5 4 - log5 16 = log5 (4/16)
b) Using the second rule, we have:
log5 (4 * 16) = log5 64
c) Using the first rule, we have:
log5 (4 / 16) = log5 (1/4)
d) This expression cannot be condensed further as the terms do not have any common logarithmic base.