Solving Single Logarithmic Equations

What is the first step in solving equations with a single logarithm?

• Isolate the logarithm

• Subtract the base from both sides

• Exponentiate both sides

• Divide both sides by the logarithm

What is the purpose of exponentiating both sides of a logarithmic equation?

• To convert the equation into a quadratic form

• To introduce a new variable

• To simplify the equation's base

• To eliminate the logarithm

What does exponentiating both sides of the equation involve?

• Adding exponents to both sides

• Multiplying both sides by the base of the logarithm

• Converting the equation into logarithmic form

• Rewriting both sides as exponents over a common base

Why is the base of the logarithm chosen for exponentiation?

• To make the equation more complex

• To convert the logarithm into an exponent

• To cancel out the logarithm

• To simplify the equation

What is the result of 5 cubed?

• 125

• 25

• 625

• 15

What base is implied if no base is visible in a logarithm?

• 10

• 2

• 5

• e

What is 4x - 1 when exponentiated with base 10 equals 100?

• x = 101/4

• x = 25.25

• 4x = 101

• 4x = 100

What base does the natural logarithm have?

• 5

• 10

• 2

• e

How do you find an approximate answer for equations involving e?

• Graphing the equation

• Solving algebraically

• Estimating the value of e

• Using a calculator

What is the approximate value of e to the 5th power plus 2, divided by 6?

• 12.0345

• 148.4132

• 25.0689

• 100.8378