Solving Exponential Functions with Same Base

Solve 8 = 2^5x+7

• ⅘

• ¼

• -⅘

• -¼

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

• 3⁶

• 6³

• 6²

• 3¹²

Ants triple in population every three hours. If the initial population is two hundred ninety two, what is the population of ants after two days?

• 1,256,964,253,000

• 1,256,964,252,000

• 1,254,130,450,000

• 2,302,405,000,000

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Converting exponential to logarithmic form: Write the logarithmic form of the exponential equation 3^x = 27

• log3(3) = x

• log3(9) = x

• log27(3) = x

• log3(27) = x

Converting exponential to logarithmic form: Convert the exponential equation 5^2 = 25 to logarithmic form

• log2(25) = 5

• log5(2) = 25

• log25(5) = 2

• log5(25) = 2

Solving exponential equations using logarithms: Solve the equation 2^x = 16 using logarithms

• x = 4

• x = 8

• x = 10

• x = 2

Solving exponential equations using logarithms: Find the value of x in the equation 4^x = 64 using logarithms

• 16

• 3

• 8

• 2

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Write b^k = m into logarithmic form.

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b