Solving Exponential Equations and Logs

Tags

CCSS.HSF.BF.B.5

Solve by converting to the exponential form:

2log₄(x+2)=2

• 2

• 2, -6

• 6

• -2, 6

Tags

CCSS.HSF.BF.B.5

HINT: Take the answer choices and put in for r. See what number will make the two sides equal!!!

• r = 10

• r = 0, r = 10

• r = 6

• r= -8, r = 10

Solve. Round to the nearest hundredths.

3^x=17

Change to log form to be able solve for x. Use math alpha math on calculator

• 2.57

• 2.58

• 2.578

• 3

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

log₂(x + 5) = 3
Change to exponential to solve for x

• 3

• 4

• 5

• 6

Tags

CCSS.HSF.BF.B.5

Move the 8 to the other side then move the 4 by dividing by 4. Then use base 10 to write in exponential form to solve!!!!

• -5

• 333.33

• 11

• 107

Tags

CCSS.HSF.BF.B.5

Move the -8 over first then Solve for n using the convert to logs method. 7ⁿ⁺¹⁰-8=6

• -7.374

• -8.643

• -7.360

• -8.853

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4