Exponential/Logarithmic Equations

 $3^{\left(x+1\right)}=3^2$  Solve for x.

• x = 1

• x = 2

• x = -1

• x = 3

 $\ln\left(10-3x\right)=\ln\left(-4x\right)$  Solve for x.

• x = 10

• x = 1

• x = -1

• x = -10

 $\log_416=x$  Solve for x.

• x = 16

• x = 4

• x = -2

• x = 2

Tags

CCSS.HSF.BF.B.5

 $2^x=5$  Solve for x.

• x = 5

•  $x\ =\ \log_52$  

•  $x\ =\ \log_25$  

• x = 2

Tags

CCSS.HSF.BF.B.5

Rewrite the following as an exponential.

 $\log_xy=z$  

•  $x^z=y$  

•  $x^y=z$  

•  $y^z=x$  

•  $z^y=x$  

Tags

CCSS.HSF.BF.B.5

Rewrite the following as a logarithm.

 $a^b=c$  

•  $\log_ac=b$  

•  $\log_bc=a$  

•  $\log_ca=b$  

•  $\log_ba=c$  

Tags

CCSS.HSF.BF.B.5

 $7^{2x}=7^{\left(x-1\right)}$  Solve for x.

• x = -1

• x = 1

• x = 7

• x = 2

 $\log_5\left(x\right)=\log_5\left(9\right)$  Solve for x.

• x = 9/5

• x = 5

• x = 9

• x = 5/9

 $7^x=3$  Solve for x.

•  $x=3$  

•  $x\ =\ 7$  

•  $x=\log_37$  

•  $x=\log_73$  

Tags

CCSS.HSF.LE.A.4

 $\ln x=6$  

•  $x=e^6$  

•  $x=6$  

•  $x=e$  

•  $x=-6$  

Tags

CCSS.HSF.BF.B.5