Convert Exponential Log

Convert log(x)=5 to exponential form

• ⁵=x

• ^x=5

• ⁵=10

• ⁵=x

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6

• log₆(x+2)=216

• log₆(216)=x+2

• log_(x+2)(216)=6

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Write 5^x =10 in log form

• x = log 5

• x = log₅10

• x = 5 log10

• x = 10 log 5

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Convert from logarithm to exponential.

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)  

A logarithmic function is the inverse of an exponential function. (a)  

• True

• False

Match each exponential expression to its equivalent logarithmic form.

• x¹⁰ = 3

• log_x 3 = 10

• 3^x = 10

• log₃ 10 = x

• e^x ≈ 10

• log x = 3

• e¹⁰ ≈ x

• ln 10 ≈ x

• 10³ = x

• ln x ≈ 10