Write ln(x¹⁰) - ln(x⁶) as a single logarithm. A) ln(x⁴) B) The logarithms cannot be combined. C) ln(x⁶⁰) D) ln(x¹⁶)

Name: Write ln(x 10 ) - ln(x 6 ) as a single logarithm. A) ln(x 4 ) B) The logarithms cannot be combined. C) ln(x 60 ) D) ln(x 16 )
Brand: Quizplus
Rating: 4.8 (38 reviews)

Question

Quizplus · Accepted Answer

The difference of two logarithms with the same base is equivalent to the logarithm of the division of their arguments. Therefore, ln(x^110) - ln(x^16) simplifies to ln(x^110 / x^16), which simplifies further to ln(x^(110-16)) = ln(x^94).

Write Ln(x10) - Ln(x6) as a Single Logarithm

Write Ln(x¹⁰) - Ln(x⁶) as a Single Logarithm