Pre Calc Solving Exponentials with Logarithms

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Tags

CCSS.HSF.LE.A.4

Solve for x:
2^x+6=2⁵

• -1
• 11
• 1
• -11

Solve: 9^8-x = 27^x-3

• 5
• -5
• 1/5
• -1/5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Solve the following for 'x';

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Solve for x:  log₆x + log₆(x-5) = 2

• √7
• 9
• 4
• none of these

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861