QUIZ REVIEW- SOLVING EXPONENTIAL & LOGARITHMIC EQUATIONS

Solve the equation.

$$\log\left(x+6\right)=\log\left(9-2x\right)$$  

Solve the equation. Round your answer to the nearest ten-thousandth.

$$4\cdot20^{x+10}=82$$  

(a)  

Solve the equation.

$$\ln9+\ln\left(3x^2+2\right)=\ln45$$  

Rewrite the equation in exponential form.

$$\ln x=25$$  

Rewrite the equation in exponential form.

$$\ln\left(x+8\right)=74$$  

 Rewrite the equation in logarithmic form.

$$e^{4x}=90$$  

 Rewrite the equation in logarithmic form.

$$e^2=x+5$$  

Condense the expression into a single logarithm.

$$2\cdot\ln12-\frac{3}{2}\cdot\ln4$$  

(a)  

Expand the logarithm.

$$\ln\left(\sqrt[]{a^2b^4}\right)$$  

Condense the expression to a single logarithm.

$$5\cdot\log2+\frac{1}{2}\cdot\log16$$