Question

log25+log4-log5 is equal to​

Answer 1

Answer:

log 20

Explanation:

log25=2log5

so log5+log4 =log20. (property)

Answer 2

The value of log25 + log4 - log5 is log5 + 2log2.

• We know that log $a^{n}$ = n log a. We will be using this concept to solve this problem.

• 25 = 5²

        4 = 2²

        log 25 = log 5² = 2log 5

        log 4 = log 2² = 2log 2

       ⇒ log 25 + log 4 - log 5 = 2log5 + 2log2 - log5 = log5 + 2log2

∴ The correct answer is log5 + 2log2.

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