Write the exponential equation in logarithmic form. $10 ^ { - 3 } = 0.00100$
A) $\log 3 = 0.00100$
B) $\log 0.00100 = - \frac { 1 } { 3 }$
C) $\log 0.00100 = - 3$
D) $\log 0.00100 = \frac { 1 } { 3 }$
E) $\log 0.00100 = 3$

Question

Write the exponential equation in logarithmic form.​ $10 ^ { - 3 } = 0.00100$ ​
A) $\log 3 = 0.00100$
B) $\log 0.00100 = - \frac { 1 } { 3 }$
C) $\log 0.00100 = - 3$
D) $\log 0.00100 = \frac { 1 } { 3 }$
E) $\log 0.00100 = 3$

Quizplus · Accepted Answer

The exponential equation $10^{-3} = 0.00100$ can be rewritten in logarithmic form as $\log_{10} 0.00100 = -3$, which matches choice C.

Write the Exponential Equation in Logarithmic Form 10−3=0.0010010 ^ { - 3 } = 0.0010010−3=0.00100

Write the Exponential Equation in Logarithmic Form $10 ^ { - 3 } = 0.00100$