Question

Help pleaseeee :,) 100 points

Answer 1

Answer: J) 125

Step-by-step explanation:

Answer 2

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`