Question

Write 2 log3 x + log3 5 as a single logarithmic expression.

Answer 1

Answer:
`\log_3(5x^2)`

Work Shown:

`2\log_3(x)+\log_3(5)\\\\\log_3(x^2)+\log_3(5)\\\\\log_3(x^2*5)\\\\\log_3(5x^2)`

Log rules used:

• log(A)+log(B) = log(AB)
• B*log(A) = log(A^B)