Solving Exponential Equations with Common Bases

What type of equation is 3x + 2 = 4x - 1?

• Rational

• Exponential

• Linear

• Quadratic

Which method is used to solve quadratic equations that cannot be factored?

• Completing the square

• Quadratic formula

• Substitution

• Graphing

What is the rule for solving exponential equations with the same base?

• If a^x = a^y, then x = y

• If a^x = b^y, then x = y

• If a^x = a^y, then x = y + 1

• If a^x = b^y, then x = y + 1

In the equation 5^x = 25, what is the value of x?

• 2

• 1

• 4

• 3

What mathematical tool is introduced for solving exponential equations with different bases?

• Polynomials

• Logarithms

• Exponents

• Roots

What is 2^3?

• 4

• 6

• 8

• 10

In the equation 16^(3x) = 8^(3x + 1), what base should be used to simplify the equation?

• 4

• 2

• 8

• 16

What is the simplified form of 16 in terms of base 2?

• 2^2

• 2^3

• 2^4

• 2^5

What is the value of x in the equation 12x = 9x + 3?

• 4

• 3

• 2

• 1

What is the correct value of x for the equation 9^(3x + 1) = 27^(x - 2)?

• 2/3

• -2

• -8/3

• 3