Review of Logs - Pre-Calculus

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Tags

CCSS.HSF.BF.B.5

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Simplify the following logarithmic function:
log₂16=

• 2
• 16
• 8
• 4

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Solve:  2^3x = 15

• 2.3
• -2.3
• 1.3
• -1.3

Tags

CCSS.HSF.LE.A.4

Solve log₅(4x-7)=log₅(x+5).

• x=4
• x=-4
• x=3
• x=-2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3