Solve the logarithmic equation. $$\log _ { 8 } ( 10 x ) = 2$$
A) $\left\{ \frac { 8 } { 5 } \right\}$
B) $\left\{ \frac { 32 } { 5 } \right\}$
C) $\{ 20 \}$
D) $\{ - 8 \}$

Question

Quizplus · Accepted Answer

To solve the equation $\log _ { 8 } ( 10 x ) = 2$, we rewrite it in exponential form: $8^2 = 10x$. This simplifies to $64 = 10x$, and solving for $x$ gives $x = \frac{64}{10} = \frac{32}{5}$.

Solve the Logarithmic Equation log⁡8(10x)=2\log _ { 8 } ( 10 x ) = 2log8​(10x)=2

Solve the Logarithmic Equation $\log _ { 8 } ( 10 x ) = 2$