Question 83190
*[Tex \Large \log_m{144}=-2] This expression is equivalent to


*[Tex \Large m^{-2}=144]


*[Tex \Large \frac{1}{m^{2}}=144] Rewrite expression with positive exponent


*[Tex \Large \sqrt{\frac{1}{m^{2}}}=\sqrt{144}] take the square root of both sides


*[Tex \Large \frac{1}{m}=12]


*[Tex \Large m=\frac{1}{12}] Flip both sides to isolate m