Understanding Logarithms and Exponential Equations

The video tutorial explains how to solve a system of equations to find the value of x, which is expressed as log base a of B. It begins by adding the equations to solve for 'a' and then subtracting them to solve for 'b'. With values for 'a' and 'b', the tutorial converts the logarithmic expression into an exponential equation. Finally, it demonstrates that x equals 2 by equating the exponents, as the bases are the same.

What is the result when you add the two equations together in the given system?

• 2b = 8

• b = 4

• a = 2

• 2a = 4

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After subtracting the two equations, what is the value of 'b'?

• b = 2

• b = 6

• b = 8

• b = 4

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CCSS.HSF.BF.B.5

What is the equivalent exponential equation for log base 2 of 4?

• 2^x = 4

• 2^x = 2

• 2^x = 8

• 2^x = 16

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CCSS.HSF.BF.B.5

What is the value of 'x' when solving the equation 2^x = 4?

• x = 3

• x = 2

• x = 1

• x = 4

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CCSS.HSF.BF.B.5

Which of the following statements is true about logarithms?

• A logarithm is a root.

• A logarithm is a type of fraction.

• A logarithm is a coefficient.

• A logarithm is an exponent.

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CCSS.HSF.BF.B.5