Solving Exponential Functions with the Same Base

What is the base method used to solve exponential equations in this tutorial?

• Graphical analysis

• Creating the same base and equating exponents

• Equating coefficients

• Using a calculator

If 8 and 4 are rewritten in terms of powers of 2, what are their respective powers?

• 2^2 and 2^3

• 2^3 and 2^2

• 2^0 and 2^1

• 2^1 and 2^2

What does the equation 'zero equals zero' indicate about the solutions of the equation?

• No solutions

• Exactly one solution

• At least one solution

• Infinite solutions

How can the equation 4^(2x+3) = 1 be solved using the properties of exponents?

• By factoring

• By setting 2x+3 equal to zero

• By setting 2x+3 equal to one

• By rewriting 1 as 4^0 and equating exponents

What is the solution to the equation 2^(x-5) = 2^6?

• x = 1

• x = 5

• x = 11

• x = 6

When simplifying expressions with the same base, what operation is performed on the exponents?

• They are added

• They are multiplied

• They are divided

• They are subtracted

What base do the numbers 81, 27, and 243 share when expressed as powers?

• Base 5

• Base 2

• Base 4

• Base 3

How is the exponent equation derived from the expression 3^(12n+8) / 3^(-5n)?

• 12n + 8 + 5n

• 12n + 8 / -5n

• 12n + 8 * -5n

• 12n + 8 - 5n

What is the final value of n when solving the equation 3^(17n+8) = 3^3?

• n = 17/5

• n = -17/5

• n = -5/17

• n = 5/17

What mathematical skill is emphasized as necessary for solving the equations discussed in the video?

• Skill in algebraic factoring

• Ability to use a calculator

• Understanding of basic arithmetic

• Knowledge of higher powers without a calculator