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Popular >

simplify 5^{1+log_{5}(3)}

Solution

simplify

5^{1 + l o g_{5} (3)}

Solution

15

Solution steps

5^{1 + l o g_{5} (3)}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

5^{1 + l o g_{5} (3)} = 5 \cdot 5^{l o g_{5} (3)}

= 5 \cdot 5^{l o g_{5} (3)}

Apply log rule:

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

5^{l o g_{5} (3)} = 3

= 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 15

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Frequently Asked Questions (FAQ)

What is 5^{1+log_{5}(3)} ?
The solution to 5^{1+log_{5}(3)} is 15