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Popular >

simplify log_{sqrt(7)}(49sqrt(7))

Solution

simplify

lo g_{7} (497)

Solution

5

Solution steps

lo g_{7} (497)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (497) = lo g_{7} (49) + lo g_{7} (7)

= lo g_{7} (49) + lo g_{7} (7)

lo g_{7} (49) = 4

= 4 + lo g_{7} (7)

Apply log rule:

lo g_{a} (a) = 1

lo g_{7} (7) = 1

= 4 + 1

Add the numbers:

4 + 1 = 5

= 5

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Frequently Asked Questions (FAQ)

What is log_{sqrt(7)}(49sqrt(7)) ?
The solution to log_{sqrt(7)}(49sqrt(7)) is 5