Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.

Question

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.

4logbx - logby

Answer 1

ᕦ( ͡° ͜ʖ ͡°)ᕤ

Answer 2

To condense the logarithmic expression 4logbx - logby using properties of logarithms, we need to apply the quotient rule.

According to the quotient rule of logarithms, logb(a) - logb(c) is equal to logb(a/c).

In this case, 4logbx - logby can be written as logb(x^4) - logb(y).

Using the quotient rule, we can combine the two logarithms into a single logarithm:

logb(x^4/y).

Now, if you have specific values for x and y, you can evaluate the logarithmic expression further.