Match each logarithmic expression to its equivalent exponential form.

• e¹⁰ ≈ x

• ln x ≈ 10

• 4^x = 10

• log_x 4 = 10

• e^x ≈ 10

• log x = 4

• 10⁴ = x

• log₄ 10 = x

• x¹⁰ = 4

• ln 10 ≈ x

Convert 3⁴ = 81 to its logarithmic form

Mathematical Equivalence

ON

• -2

• 7

• 2

• 1/2

Given log₅ 0.04 = x,

Complete the steps to evaluate by using exponential form.

​Step 1 (Rewrite in exponential form): ​ (a)   = 0.04

Step 2 (rewrite the decimal as a fraction): 0.04 = ​ (b)  

Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)  

Answer: ​ (e)  

Given

f(x) = –5x–2

g(x) = 2x²

Find g(f(x))

*Choose ALL that apply

• -5(2x²) -2

• -10x² - 2

• 2(-5x-2)²

• 2(-5x - 2)(-5x - 2)

• -52x² - 2

Tags

CCSS.HSF-BF.A.1C

Groups:

(a) a(b(x))

,

(b) b(a(x))

Tags

CCSS.HSA.APR.D.7

Match each function to its inverse.

Tags

CCSS.HSF-BF.B.4A

Order the steps to find the inverse of f(x) = 4(x+5)⁸

Tags

CCSS.HSF-BF.B.4B