Math tutorial for condensing a logarithmic expression with two logs

The video tutorial explains how to apply the power rule in logarithms by rewriting numbers as powers. It demonstrates combining logarithms with the same base and simplifying expressions. The tutorial emphasizes the importance of rewriting expressions in a preferred format, such as writing '5X^2' instead of 'X^2 * 5'.

What is the power rule used for in logarithms?

• To change the base of a logarithm

• To rewrite a number in front as a power

• To subtract two logarithms

• To add two logarithms

When two logarithms with the same base are added, how can they be combined?

• By subtracting them

• By multiplying their arguments

• By dividing their arguments

• By adding their arguments

What is the result of combining log base 10 of X^2 and log base 10 of 5?

• log base 10 of X^2 - 5

• log base 10 of X^2 / 5

• log base 10 of 5X^2

• log base 10 of X^2 + 5

How should the expression X^2 * 5 be preferably written?

• X^2 - 5

• 5X^2

• 5 + X^2

• X^2 + 5

Is it necessary to always write the base 10 in logarithms?

• Only when the base is not 10

• No, it is common to omit it

• Yes, it is always necessary

• Only in advanced mathematics