Rewrite Exponentials to Have Same Base

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶

• 6³

• 6²

• 3¹²

To solve the equation below, it is important you ________

• have the same bases before setting the exponents equal to each other.

• have the same exponents before setting the bases equal to each other.

Solve for n:
2^-2n = 2⁶

• -1

• -7

• 5

• -3

The basic requirement in solving the exponential equations is

• the base in both exponentials has to be the same

• the exponents of the equations are the same.

• the base in both exponents has to be different.

• the exponents of the equations have to be different.

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

• 8

• 4

• 2

• Cannot be determined

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

Tags

CCSS.HSF.BF.B.5

Solve for x.

16^2x = 256^2x+5

• 5

• -5

• 2

• 16

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

Solve: 7^-x = 49

• x = 1

• x = -1

• x = 2

• x = -2