Logarithms Basics

Write as one logarithm. Simplify, if possible.

(log 3 - log 6) + log 2

• log 4

• log 2

• log 1

• log 6

Use the change of base rule to rewrite this problem:

log₂16

• log(16)/log(2)

• log(2)/log(16)

• A
• B
• C
• D

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

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

• k = e^r

• k = r^e

• k^r = e

• r^k = e

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

• w = h^d

• w^d = h

• h = w^d

• h^w = d

Re-Write the Logarithm Equation into Exponential Form
log_y9 = b

• 9 = y^b

• y⁹ = b

• 9 = b^y

• 9^y = b

Re-Write the Logarithm Equation into Exponential Form
log₃243 = 5

• 243 = 3⁵

• 243 = 5³

• 3 = 243⁵

• 243 = 5³

Re-Write the Logarithm Equation into Exponential Form
log_xk = 7

• x⁷ = k

• 7^x = k

• x^k = 7

• 7^k = x

Re-Write the Logarithm Equation into Exponential Form
log_x256 = 4

• 256 = x⁴

• 4^x = 256

• 4 = x²⁵⁶

• 256^x = 4