Basics of Solving Exponential and Logarithmic Equations

7^x = 7⁸

• x=7

• x=8

• x=log7

Tags

CCSS.HSF.BF.B.5

The first step to solve 7^x = 19 is...

• Divide by 7 on both sides

• Move the x down in front as a coefficient

• Take the log of both sides

Solve 8^x = 8^-1

• x = 8

• x = -8

• x = -1

• Undefined

What is the first step to solve 10^x = 83

• Divide by 10 on both sides

• Take the log of both sides

• Guess and check

Tags

CCSS.HSF.LE.A.4

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

log (3x) = log 12

• x = 4

• x = 9

• x = 1/3

The first step to solve log 9 = 2 is to...

• Take the log of both sides

• Use common bases

• Rewrite exponentially as 10² = 9

Tags

CCSS.HSF.BF.B.5

The first step to solve 4^2x = 8^x is to...

• Rewrite both sides with a base of 2

• Rewrite both side with a base of 4

• Divide by 4 on both side

The first step to solve 8 + log 7 = 10 is...

• Rewrite exponentially

• Subtract 8 on both sides to isolate the log

• Divide by 7 on both sides