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Popular >

simplify 3^{2log_{3}(7)}

Solution

simplify

3^{2 l o g_{3} (7)}

Solution

49

Solution steps

3^{2 l o g_{3} (7)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

3^{2 l o g_{3} (7)} = (3^{l o g_{3} (7)})^{2}

= (3^{l o g_{3} (7)})^{2}

Apply log rule:

a^{l o g_{a} (b)} = b

3^{l o g_{3} (7)} = 7

= 7^{2}

7^{2} = 49

= 49

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4 \frac{2}{3} \div 2

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15 \frac{1}{2} \div \frac{1}{4}

Frequently Asked Questions (FAQ)

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