Advanced Algebra Final Exam Review

Rewrite the logarithmic equation as an exponent.
log₄25 = x

• 4^x = log
• 4²⁵ = x
• 4^x =25
• log = 4

Rewrite the exponential equation as a logarithmic equation.
2^x = 8

• log₂x = 8
• log_x2 = 8
• log₂8 = x
• log₂2 = 8

Simplify Completey:  x⁵ ⋅ x^-3⋅ x¹²

• x^-180
• x¹⁴
• x¹⁸⁰
• x^-14

Simplify the complex expression:

(2 + 4i)(3 + 5i)

• 6 + 20i

• 5 + 9i

• 10 + 12i

• -14 + 22i

Solve 2x² - 5x = 1

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• 
• 

Solve for f:

f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

Evaluate f(x)=-2x+13 for f(10)

• -7

• 1

• -8

• 7

Simplify the exponents:

(x⁴ y³ z)⁵(4zx⁸)²

• 16x³⁶y¹⁵z⁷

• 8x³⁶y¹⁵z⁷

• 16x³⁶y⁸z⁶

• 16x¹⁹y⁸z⁷

Solve: 7^-x = 49

• 1

• -1

• 2

• -2