Exponential Equations with Different Bases

Solve

• 2

• -2

• 3

• -3

Solve

• -1/3

• -3

• -1

• 3

Solve

• -2

• 6

• 9

• 3

Solve for x:

5^{x+ 2} = 1/125

• -1

• -6/7

• -5

• 4

Solve 4^2x+3 = 1

• x = -3/2

• x = - 2/3

• x = 1

• x = - 1

To solve 8 = 2^5x+7, you would need to re-write 8 using what as your base?

• 8

• 4

• 2

• Cannot be determined

Solve for x:

125 = 5^-x+6

• 3

• -3

• 6

• -6

To solve this exponential equation which cannot be changed into the same bases on both sides of the equal sign, you must _________________

• raise 2 to the power of x also.

• set x = 2

• divide by 3.

• take the logarithm of both sides.

Rewrite the exponential as a log.

2^3x+1 = 12

• ln(2)= 3x+1

• log₂(12)= 3x+1

• ln(6)=3x+1

• log₁₂(2)= 3x+1

• take the logarithm of both sides

• multiply both sides by 7

• divide both sides by 7

• add 1 to both sides