Solve each of the following equations. $\lg(x+3)=2$ $\log_{x}(2-x)=2$ \(\log_{x}\left(\frac{x-x^

Question

Solve each of the following equations. $\lg(x+3)=2$ $\log_{x}(2-x)=2$ $\log_{x}\left(\frac{x-x^2}{2}\right)=3$ $\log_{2x}(3-11x)=2$

Accepted Answer

(a) $x=97$ (b) No real solution (c) $x=\dfrac12$ (d) $x=\dfrac14$

Exponential and Logarithmic Functions - Logarithms