math help please

Question

Simplify. Enter the result as a single logarithm with a coefficient of 1.

log3(4x^5)−log3(7x^7)=

Answer 1

Hi Latasha,

Simplify. Enter the result as a single logarithm with a coefficient of 1.

log₃(4x⁵)−log₃(7x⁷)=

To solve this problem, you would use the following property of logarithms.

The Quotient Rule log_a (m/n) = log_am - log_an

log₃(4x⁵)−log3(7x⁷) //Since they are both log₃ and they are subtracted, use quotient rule

log₃ ( 4x⁵/ 7x⁷) // Now simplify inside the parenthesis

log₃ ( 4 / 7x²)

Hope this helps!