Solving Logarithms and Natural Logs

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x in the logarithmic equation.

 $\log_3(4x-3)=2$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the logarithmic equation.

 $\log_7343=2x+1$  

x = __________

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x in the logarithmic equation.

 $\log_5(3x-1)=\log_5(2x+5)$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

Log with a base "e" (log_e) is the same thing as...

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the equation in logarithmic form.
 $e^3=x$  

•  $\ln x=3$  

•  $\ln3=x$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the equation in logarithmic form.
 $e^x=36$  

•  $\ln36=x$  

•  $\ln x=36$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the equation in logarithmic form.
 $e^{\left(x-9\right)}=74$  

•  $\ln\left(x-9\right)=74$  

•  $x-9=\ln74$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4