Question

What do you need to remember when condensing SINGLE logarithms?

Answer 1

When condensing single logarithms, remember the product rule, quotient rule, and power rule. Apply these rules in the correct order for effective condensation.

Step-by-step explanation:

When condensing single logarithms, there are a few key things to remember:

1. The product rule: If you have a single logarithm that is the product of two numbers, you can condense it by adding the logarithms of the two numbers together. For example, log(a * b) = log(a) + log(b).
2. The quotient rule: If you have a single logarithm that is the quotient of two numbers, you can condense it by subtracting the logarithm of the denominator from the logarithm of the numerator. For example, log(a / b) = log(a) - log(b).
3. The power rule: If you have a single logarithm that has an exponent, you can condense it by multiplying the exponent with the logarithm of the base number. For example, log(a^b) = b * log(a).
4. Remember to apply these rules in the correct order. Start with the power rule, then the product rule, and finally the quotient rule.

By understanding and applying these rules, you can effectively condense single logarithms.