Logarithms Basics

Re-Write the Exponential Equation into Logarithmic Form
5^x = 625

• x = log₅625 
• log₅x = 625
• 5 = log_x625
• log₅x = 625

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
e⁴ = 54.60

• 4 = ln (54.60) 
• ln (4) = 54.60
• 4 = log (54.60) 
• log (e) = 54.60

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
e^k = 7.39

• ln (7.39) = k
• ln (7.39) = e
• log (7.39) = k
• log (e) = 7.39

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
3^-5 = 1/243

• log₃(1/243) = -5
• log₃(1/243) = 5
• log₃(243) = -5
• log₃(-5) = 243

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
x^-z = 1/32

• log_x(1/32) = -z
• log_x(1/32) = z
• log_x(-z) = 1/32
• log_z(1/32) = -x

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
y^t = k

• log_yk = t
• log_ky = t
• k = log_yt 
• y = log_kt 

Tags

CCSS.HSF.BF.B.5

Re-Write the Logarithm Equation into Exponential Form
ln (k) = r

• k = e^r
• k = r^e
• k^r = e
• r^k = e

Tags

CCSS.HSF.BF.B.5

Re-Write the Logarithm Equation into Exponential Form
ln (5) = 1.6

• e⁵ = 1.6
• e^1.6 = 5
• 1.6⁵ = e
• 5^e = 1.6

Tags

CCSS.HSF.BF.B.5

Re-Write the Logarithm Equation into Exponential Form
log (c) = 5

• c = 10⁵
• c = 5¹⁰
• 5^c = 10
• c⁵ = 10

Tags

CCSS.HSF.BF.B.5

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d
• w^d = h
• h = w^d
• h^w = d

Tags

CCSS.HSF.BF.B.5