Basics of Solving Exponential and Logarithmic Equations

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

Solve

• -3

• 3

• 1/3

• No solution

Solve

• 46/5

• 5/46

• -46/5

• -5/46

Solve for x.
log₇70=log₇(10x-30)

• x=1
• x=2
• x=10
• x=-2

9^x=3^x-6

• x=5
• x=-6
• x=0
• x=Does Not Exist

ln(9x-2)=ln(x+14)

• x=2
• x=.156
• x=-3
• x=0

9^x+3=3^x+17

• X=1
• x=5
• x=-2
• x=11

10^2x=10000

• x=2
• x=.019
• x=7
• Does Not Exist

5^x=(1/125)

• x=3
• x=2
• x=-3
• x=-4

Tags

CCSS.HSF.LE.A.4