Ch 3 PreCalc Review

Rewrite in exponential form

• $4^x=\frac{1}{2}$

• $x^4=\frac{1}{2}$

• $\left(\frac{1}{2}\right)^x=4$

• $4^{\frac{1}{2}}=x$

Rewrite in logarithmic form

• $\ln x=12$

• $\ln12=x$

• $\log_e12=x$

• $\log_ex=12$

Expand the logarithm

• $3\ln x-3\ln2-3\ln y$

• $3\ln x+3\ln2+3\ln y$

• $\ln x^3-\ln2-\ln y$

• $3\ln x-3\ln2+3\ln y$

Condense the logarithm

• $\log_4\left(\frac{2x}{y^5}\right)$

• $\log_4\left(2xy\right)^5$

• $\log_42xy$

• $\log_4\left(2x-y\right)^5$

Solve for x

• 9.78

• 7.78

• 2.18

• -5.82

Solve for x

• 4

• -5

• 5

• -4

Solve for x

• 7

• 3

• 6

• 3

Which formula should you use to solve this problem?

• $A=Pe^{rt}$

• $A=P\left(1+\frac{r}{n}\right)^{nt}$

Solve the problem

• $4311.46

• $4311.53

Which account will yield more money?

• Option A

• Option B