Solve the equation for x. Give an exact solution.
-$\log ( 13 x + 3 ) = - 0.5$
A) $13 \left( 10 ^ { - 0.5 } - 3 \right)$
B) $\frac { 10 ^ { - 0.5 } + 13 } { 3 }$
C) $\frac { 10 ^ { - 0.5 } - 3 } { 13 }$
D) $10 ^ { - 0.5 } - 3$

Question

Quizplus · Accepted Answer

To solve the equation $\log(13x + 3) = -0.5$, we first rewrite the equation in exponential form: $13x + 3 = 10^{-0.5}$. Then, we solve for $x$ by subtracting 3 from both sides and dividing by 13, which gives $x = \frac{10^{-0.5} - 3}{13}$.

Solve the Equation for X log⁡(13x+3)=−0.5\log ( 13 x + 3 ) = - 0.5log(13x+3)=−0.5

Solve the Equation for X $\log ( 13 x + 3 ) = - 0.5$