Solving Exponential Equations Using a Common Base

Solve for x using the same base method.
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Solve for x using the same base method.
3^x-20 = 27

• 17
• 27
• -7
• 23

Solve: 2^x = 4^x+1

• -2
• 2
• -3
• 3

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Solve the equation for x.

• 22.198
• e
• 1.131
• 21.66

• 3.1018

• 4.3

• No Solution

• 1.8675

• 2.1681

• 2.4849

• 1.0792

• 1.195

• 1.3596

• 1.7067

• 3.9299

• No solution