Solving Exponential Equations using Logarithms

5 Activities

Wize High School Algebra II Textbook (Common Core) > Logarithmic Functions

5 Activities

Solve 2(3)2x−1=5(4)3x2(3)^{2x-1}=5(4)^{3x}2(3)2x−1=5(4)3x

A) log⁡5+log⁡3−log⁡22log⁡3+3log⁡4\dfrac{\log5+\log3-\log2}{2\log3+3\log4}2log3+3log4log5+log3−log2​ 

B) log⁡5+log⁡3+log⁡22log⁡3−3log⁡4\dfrac{\log5+\log3+\log2}{2\log3-3\log4}2log3−3log4log5+log3+log2​ 

C) log⁡5+log⁡3−log⁡22log⁡3−3log⁡4\dfrac{\log5+\log3-\log2}{2\log3-3\log4}2log3−3log4log5+log3−log2​  

D) log⁡5+log⁡3+log⁡22log⁡3+3log⁡4\dfrac{\log5+\log3+\log2}{2\log3+3\log4}2log3+3log4log5+log3+log2​

I don't know

Solve 9x−3x−8=09^x-3^x-8=09x−3x−8=0.

Practice: Using Logarithms to Solve Exponential Equations
Solve for x to the nearest thousandth. 
9=27(4x)9=27(4^x)9=27(4x)

Practice: Using Logarithms to Solve Exponential Equations
Solve for x to the nearest hundredth. 
2(4x+1)=3x2(4^{x+1})=3^x2(4x+1)=3x

Practice: Using Logarithms to Solve Exponential Equations
Find x. 
73x=10(8x)7^{3x}=10(8^{x})73x=10(8x)

Practice: Using Logarithms to Solve Exponential Equations
Find x to the nearest hundredth.
4(5x)=2x+14(5^x)=2^{x+1}4(5x)=2x+1

Practice: Using Logarithms to Solve Exponential Equations
Solve to the nearest hundredth. 
32x−1=4x+23^{2x-1}=4^{x+2}32x−1=4x+2

Practice: Using Logarithms to Solve Exponential Equations
Solve to the nearest hundredth. 
3x+2=2x+13^{x+2}=2^{x+1}3x+2=2x+1

Solve 9x−3x−8=09^x-3^x-8=09x−3x−8=0.

Practice: Using Logarithms to Solve Exponential Equations
Solve for x to the nearest thousandth. 
9=27(4x)9=27(4^x)9=27(4x)

Practice: Using Logarithms to Solve Exponential Equations
Solve for x to the nearest hundredth. 
2(4x+1)=3x2(4^{x+1})=3^x2(4x+1)=3x

Practice: Using Logarithms to Solve Exponential Equations
Find x. 
73x=10(8x)7^{3x}=10(8^{x})73x=10(8x)

Practice: Using Logarithms to Solve Exponential Equations
Find x to the nearest hundredth.
4(5x)=2x+14(5^x)=2^{x+1}4(5x)=2x+1

Practice: Using Logarithms to Solve Exponential Equations
Solve to the nearest hundredth. 
32x−1=4x+23^{2x-1}=4^{x+2}32x−1=4x+2

Practice: Using Logarithms to Solve Exponential Equations
Solve to the nearest hundredth. 
3x+2=2x+13^{x+2}=2^{x+1}3x+2=2x+1