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Popular >

expand log_{3}(81)

Solution

expand

lo g_{3} (81)

Solution

4

Solution steps

lo g_{3} (81)

Rewrite

81

in power-base form:

81 = 3^{4}

= lo g_{3} (3^{4})

Apply log rule:

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

lo g_{3} (3^{4}) = 4 lo g_{3} (3)

= 4 lo g_{3} (3)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= 4

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Frequently Asked Questions (FAQ)

What is expand log_{3}(81) ?
The solution to expand log_{3}(81) is 4