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1 vote
Help pleaseeee :,) 100 points

Help pleaseeee :,) 100 points-example-1
User Pegah
by
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2 Answers

6 votes
Answer: J) 125

Step-by-step explanation:
Help pleaseeee :,) 100 points-example-1
User Phluks
by
8.6k points
4 votes

Answer:

x = 125

Step-by-step explanation:

Given equation:


\log_224-\log_23=\log_5x


\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a(x)/(y)


\implies \log_2\left((24)/(3)\right)=\log_5x


\implies \log_28=\log_5x

Rewrite 8 as 2³:


\implies \log_2(2^3)=\log_5x


\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax


\implies 3\log_22=\log_5x


\textsf{Apply log law}: \quad \log_aa=1


\implies 3(1)=\log_5x


\implies \log_5x=3


\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b


\implies 5^3=x


\implies x=125

User Hyndrix
by
8.2k points

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