Math  /  Algebra

QuestionQuestion 7
Evaluate the following expressions.
1 (a) log3313=\log _{3} 3^{13}= \square (b) log381=\log _{3} 81= \square (c) log4256=\log _{4} 256= \square (d) log5510=\log _{5} 5^{10}= \square

Studdy Solution
For part (d), use the property of logarithms that states logb(bn)=n\log_b(b^n) = n. Therefore:
log5(510)=10 \log_{5}(5^{10}) = 10
The evaluated expressions are: (a) log3(313)=13 \log_{3}(3^{13}) = 13 (b) log3(81)=4 \log_{3}(81) = 4 (c) log4(256)=4 \log_{4}(256) = 4 (d) log5(510)=10 \log_{5}(5^{10}) = 10

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