Solving Exponential equations

The video tutorial explains how to solve an exponential equation by isolating the variable X. It demonstrates two methods: using logarithms and converting the equation to logarithmic form. The tutorial provides step-by-step instructions, leading to the final calculation of X, which is approximately 0.233.

What is the first step in isolating the variable X in the equation 3X + 4 = 9?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 3

• Divide both sides by 3

Which of the following is a method to solve the equation after isolating X?

• Taking the square root of both sides

• Adding 5 to both sides

• Taking the logarithm of both sides

• Multiplying both sides by 10

What is the logarithmic form of the equation after taking the logarithm of both sides?

• log base 4:50 = 3X

• log base 10 of 3X = log base 10 of 5

• log base 5 = 3X

• log base 10 of X = 3

How do you evaluate the expression to find the approximate value of X?

• Divide by 3

• Multiply by 3

• Add 3

• Subtract 3

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

• 0.75

• 0.5

• 0.233

• 1.0