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Popular >

simplify log_{3}(49)

Solution

simplify

lo g_{3} (49)

Solution

2 lo g_{3} (7)

+1

Decimal Notation

3.54248 \dots

Solution steps

lo g_{3} (49)

Factor the number:

49 = 7^{2}

= lo g_{3} (7^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{3} (7^{2}) = 2 lo g_{3} (7)

= 2 lo g_{3} (7)

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Frequently Asked Questions (FAQ)

What is log_{3}(49) ?
The solution to log_{3}(49) is 2log_{3}(7)