Solving Using Exponents and Logarithms

Solve for x
5^x = 17

• x = log₁₇5

• x = log 5 + log 17

• x = log₅17

• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10

• 0

• e

• -e

Is the expression true or false; log_baseArgument=exponent

• True

• False

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

What would be the BEST first step in solving the equation?

• Divide by 125

• Use expansion to "bring the exponents down"

• Set the exponents equal to each other

• Rewrite the bases as powers of 5

Evaluate.
log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

Evaluate.
3 log₂4

• 3

• 6

• 2

• 4

Evaluate.
3 log₈2

• ¹/₃

• 3

• 1

• 9

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5