Logarithm Laws

5 Activities

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

5 Activities

Solve 9x−3x−8=09^x-3^x-8=09x−3x−8=0.

A) log⁡(1+332)3\dfrac{\log{\Bigg(\dfrac{1+\sqrt{33}}{2}}\Bigg)}{3}3log(21+33​​)​ 

B) log⁡3(1±332)\log_3{\Bigg(\dfrac{1\pm\sqrt{33}}{2}}\Bigg)log3​(21±33​​) 

C) log⁡3(1−332)\log_3{\Bigg(\dfrac{1-\sqrt{33}}{2}}\Bigg)log3​(21−33​​) 

D) log⁡3(1+332)\log_3{\Bigg(\dfrac{1+\sqrt{33}}{2}}\Bigg)log3​(21+33​​) 

I don't know

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

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

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