Logs and Exponential Form

Write 5^x =10 in log form

• x = log 5

• x = log₅10

• x = 5 log10

• x = 10 log 5

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Change to logarithmic form.

3^h = w

• log_w3 = h

• log₃w = h

• log_h3 = w

• log₃h = w

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log₁₃169=2

• 2¹³ = 169

• 13² = 169

• 169² = 13

• 13¹⁶⁹ = 2

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log_n117 = 11

• n¹¹ = 117

• 11ⁿ = 117

• 117ⁿ = 11

• n¹¹⁷ = 11

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14² = 196

• log₁₄ 196 = 2

• log₂ 14 = 196

• log₂ 196 = 14

• log₁₄ 14 = 2

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n^m = 156

• log_n 156 = m

• log_n m = 156

• log_m 156 = n

• log_n 16 = n

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What is the value of e^ln(5)

• e

• 1

• 5

• Does not exist

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What is the value of ln(e⁷)

• 2.718...

• 1

• 7

• Does not exist

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ln(x)=3

• e^x

• 3e

• 3^e

• e³

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Solve for x:
e^x=7

• x=ln7

• x=ln⁷

• x=7^ln

• No solution

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