Solving Exponential Equations

What is the solution to the equation 9^(8-x) = 27^(x-3)?

• x = 3

• x = 4

• x = 5

• x = 6

What is the base of an exponential function?

• The constant that is raised to a power.

• The variable that is multiplied by itself.

• The exponent in the function.

• The coefficient of the function.

What is the importance of logarithms in solving exponential equations?

• Logarithms are used to solve exponential equations when the variable is in the exponent, allowing us to bring the exponent down and solve for the variable.

• Logarithms are primarily used to convert fractions into whole numbers.

• Logarithms help in calculating the area under a curve in calculus.

• Logarithms are used to simplify polynomial equations.

How do you solve the equation 9^(8-x) = 27^(x-3)?

• x = 3

• x = 4

• x = 5

• x = 6

What is the relationship between the bases in exponential equations?

• If two exponential expressions with the same base are equal, then their exponents must also be equal.

• The bases must be different for the equations to hold true.

• The bases can be any real numbers regardless of their equality.

• The bases must always be equal for the equations to be valid.

What is the solution to the equation 16^(2x) = 256^(2x+5)?

• x = -3

• x = -5

• x = 0

• x = 2

What is the solution to the equation 4^(p+2) = 64?

• p = 0

• p = 1

• p = 2

• p = 3

What is the solution to the equation 4^(p+2) = 64?

• p = 0

• p = 1

• p = 2

• p = -1

How do you solve the equation 16^(2x) = 256^(2x+5)?

• x = 5

• x = -5

• x = 10

• x = 0

What is the solution to the equation 16^(x+5) = 64^(-2)?

• x = -6

• x = -8

• x = -10

• x = -4