Logarithmic Equations and Exponents

The video tutorial explains how to solve a logarithmic equation by isolating the logarithm and converting it into an exponential equation. It demonstrates the process of using a calculator to approximate the solution and concludes with solving for x. The tutorial aims to provide a clear understanding of the steps involved in solving such equations.

What is the first step in solving a logarithmic equation with a single log?

• Multiply by the base of the log

• Convert it to a quadratic equation

• Add a constant to both sides

• Isolate the logarithm

How do you isolate the logarithm in the equation 9/7 * log base 2 of 2x?

• Add 9/7 to both sides

• Multiply both sides by 7/9

• Subtract 9/7 from both sides

• Divide both sides by 7/9

What is the next step after isolating the logarithm in a log equation?

• Convert it to a linear equation

• Graph the equation

• Convert it to an exponential equation

• Solve for y

In the equation 2 raised to the power of 35/9 equals 2x, what is the base?

• 9/7

• 35/9

• 2x

• 2

What tool is used to approximate 2 raised to the power of 35/9?

• A protractor

• A calculator

• A ruler

• A compass

What is the approximate value of 2 raised to the power of 35/9 rounded to four decimal places?

• 7.4070

• 2.0000

• 35.0000

• 14.8140

After calculating 2 raised to the power of 35/9, what is the next step to find x?

• Multiply by 2

• Subtract 2

• Add 2

• Divide by 2

What is the approximate value of x after solving the equation?

• 7.4070

• 35.0000

• 14.8140

• 2.0000