Exponential and Logarithmic Transformations

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Convert the exponential equation `2^3 = 8` to logarithmic form.

• log2(8) = 3

• log8(2) = 3

• log3(2) = 8

• log3(8) = 2

Convert the logarithmic equation `log10(1000) = 3` to exponential form.

• 10^3 = 1000

• 10^1000 = 3

• 1000^3 = 10

• 1000^10 = 3

Convert the exponential equation `5^4 = 625` to logarithmic form.

• log5(625) = 4

• log4(625) = 5

• log625(5) = 4

• log625(4) = 5

Convert the exponential equation `7^2 = 49` to logarithmic form.

• log7(49) = 2

• log2(49) = 7

• log49(7) = 2

• log49(2) = 7

Convert the exponential equation `4^(-3) = 1/64` to logarithmic form.

• log4(1/64) = -3

• log(-3)(1/64) = 4

• log(1/64)(4) = -3

• log(-3)(4) = 1/64

Convert the logarithmic equation `log5(1/125) = -3` to exponential form.

• 5^(-3) = 1/125

• 5^(1/125) = -3

• (1/125)^5 = -3

• (1/125)^(-3) = 5

Convert the exponential equation `10^(-2) = 0.01` to logarithmic form.

• log10(0.01) = -2

• log(-2)(0.01) = 10

• log0.01(10) = -2

• log0.01(-2) = 10

Convert the exponential equation `e^5 = 148.413` to logarithmic form, using the natural logarithm.

• ln(148.413) = 5

• ln(5) = 148.413

• ln(e) = 5/148.413

• ln(148.413) = e^5

Convert the exponential equation `9^1.5 = 27` to logarithmic form.

• log9(27) = 1.5

• log1.5(27) = 9

• log27(9) = 1.5

• log27(1.5) = 9