Logarithms

Logarithms

By PAULINA GUADALUPE ESPERICUETA CARMONA

Open Ended

Solve for x: $$3^{-8x}=81^{\left(3-x\right)}$$  

Multiple Choice

Rewrite as an exponential expression $$\log_232=5$$  

• $$2^5=32$$  

• $$5^2=32$$  

• $$32^2=5$$  

• $$5^{32}=2$$  

Multiple Choice

Rewrite as a logarithmic expression $$3^4=81$$  

• $$\log_34=81$$  

• $$\log_43=81$$  

• $$\log_{81}3=4$$  

• $$\log_381=4$$  

Multiple Choice

Rewrite as a logarithmic equation: $$e^x=4$$  

• $$\log_xe=4$$  

• $$\ln4=x$$  

• $$\ln x=4$$  

• $$\log_4x=e$$  

Multiple Choice

Rewrite as an exponential equation $$\ln9=y$$  

• $$y^e=9$$  

• $$9^e=y$$  

• $$e^9=y$$  

• $$e^y=9$$  

Multiple Choice

Solve for x: $$\log_4\left(6-4x\right)=2$$  

• 4

• -5/2

• 2/5

• -22/4