Question

Write 1-3log5x as a single logarithm

Answer 1

log(10)/(5x^3)

Explanation:

1 - 3log(5x)

log(10) - 3log(5x)

log(10) - log(5x^3)

Since the log bases are the same, you can combine them using the Quotient Property of Logarithms.

log(10)/(5x^3)

Answer 2

1 can be written as log 10

so,
log 10 - 3 log 5x = log 10 - log (5x)^3
= log 10/(5x^3)