Solving Logarithmic Equations with Different Bases

What is the result of 2 raised to the 6th power in the equation log base 2 of (X - 4) = 6?

• 32

• 128

• 64

• 256

After solving the equation log base 2 of (X - 4) = 6, what value do we get for X?

• 66

• 64

• 72

• 68

In the equation 3 * ln(X + 1) = 30, what is the first step to isolate the logarithm?

• Add 3

• Multiply by 3

• Divide by 3

• Subtract 3

What is the base of the natural logarithm (ln)?

• 2

• 10

• π

• e

After simplifying the equation 3 * ln(X + 1) = 30, what does ln(X + 1) equal?

• 12

• 11

• 9

• 10

Why is it not advisable to move the coefficient inside the logarithm as an exponent when simplifying?

• It changes the base of the logarithm

• It simplifies the equation too much

• It complicates the equation

• It's mathematically incorrect

What is the value of e to the 10th power minus 1, rounded to the nearest whole number?

• 22025

• 2225

• 2025

• 20025

What key combination is used on a calculator to find e to the power of a number?

• Ctrl + e

• Second + Ln

• Shift + e

• Second + Log

What is the final value of X in the equation e to the 10th power equals X plus 1?

• 10e - 1

• e^9

• e^10 - 1

• e^(10/2) - 1

What is the correct interpretation of the logarithmic equation ln(X + 1) = 10 in exponential form?

• 10^e = X + 1

• e^(X + 1) = 10

• e^10 = X + 1

• ln(10) = X + 1