Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
-$\log x - 2 \log 8 = 3$
A) $\{ 768 \}$
B) $\{ 8,000 \}$
C) $\{ 64,000 \}$
D) $\{ 192 \}$

Question

Quizplus · Accepted Answer

The equation can be rewritten using the properties of logarithms: $\log x - \log 64 = 3$. This simplifies to $\log(x/64) = 3$. Converting from logarithmic to exponential form gives $x/64 = 10^3$, so $x = 64,000$.

Solve the Equation log⁡x−2log⁡8=3\log x - 2 \log 8 = 3logx−2log8=3

Solve the Equation $\log x - 2 \log 8 = 3$