Question

What is 2 log 5 + 5 log x written as a single logarithm?

Answer 1

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

Answer 2

Answer:

log ( 25x⁵)

Step-by-step explanation:

• 2log5 + 5log x

use a×log × b = log b^a to transform the expression.

• log 5² + log c⁵

use log x + log y = log ( x×y ) to simplify the expression

• log ( 5² x⁵)

Evaluate the power

• log ( 25x⁵)