Logarithms to Exponential Applications

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When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

• y₁ = log(7)x

• y₁= log(7x)

• y₁= log(x) / log(7)

• y₁= log(7) / log(x)

What is the value of e^ln(5)

• e

• 1

• 5

• Does not exist

What is the value of ln(e⁷)

• 2.718...

• 1

• 7

• Does not exist

ln(x)=3

• e^x

• 3e

• 3^e

• e³

Solve for x:
e^x=7

• x=ln7

• x=ln⁷

• x=7^ln

• No solution

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5