Converting Logs and Exponents

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Given log₂₀ 0.05 = x, Complete the steps to evaluate by using exponential form. ​Step 1 (Rewrite in exponential form): ​ (a)   = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b)   Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)   Answer: ​ (e)  

Match each exponential expression to its equivalent logarithmic form.

• 3^x = 10

• ln x ≈ 10

• 10³ = x

• log₃ 10 = x

• x¹⁰ = 3

• log_x 3 = 10

• e¹⁰ ≈ x

• log x = 3

• e^x ≈ 10

• ln 10 ≈ x

Given log₂₀ 0.05 = x, Complete the steps to evaluate by using exponential form. ​Step 1 (Rewrite in exponential form): ​ (a)   = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b)   Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)   Answer: ​ (e)  

log₄1 = 

• 0

• 1

• 4

• DNE

Change the logarithm to an exponent.

Mathematical Equivalence

ON

Given log₂₀ 0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): ​ (a)   = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b)   Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)   Answer: ​ (e)  

Given log₂₀ 0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): ​ (a)   = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b)   Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)   Answer: ​ (e)