Question

Log₃60-log₃10Write the expression as a single logarithm

Answer 1

When we subtract two logarithms with the same base, we can write it as a single logarithm:

`\log _ax-\log _ay=\log _a(x)/(y)`

In this problem, we have:

a = 3

x = 60

y = 10

Using those values in the above identity, we find:

`\begin{gathered} \log _360-\log _310=\log _3(60)/(10) \\ \\ =\log _36 \end{gathered}`

Therefore, the answer is:

`\log _36`