`log_5 (75) - log_5 (3)` Find the exact value of logarithmic expression without using a calculator. (If this is not possible, then state the reason.)

Textbook Question

Chapter 3, 3.3 - Problem 35 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Given,

`log_5(75)-log_5(3) `

Condense

`log_5(25) `

Set equal to x

`log_5(25)=x `

`5^x=25 `

`5^x=5^2 `

`x=2 `

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