Solving with Logarithms and Exponential Equations

Evaluate. 

• A
• B
• C
• D

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)
• log₁₀ 7 + log₁₀ x
• 7log₁₀ x
• xlog₁₀ 7

Condense

• A
• B
• C
• D

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

Solve:
log x + log 8 = 2 

• 10
• 12.5
• 15
• 17.5

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

Solve for x.

• no solution
• only 6
• 6 and -2
• 3

Solve for x.
Log₃(x-5)=2

• 25
• 5
• 130
• 14

Solve.
ln√(x+3)=4

• e²-3
• e⁴-3
• e⁸-3
• e⁸+3

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3