5:7 - Exponentials and Log Conversions

Using the equation below, which value becomes the BASE of the logarithm?

 $7^x=1.2$  

• 1.2

• x

• 7

• 10

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

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Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

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Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5
• log ₅ 1024 = 4
• log ₄ 5 = 1024
• log ₅ 4 = 1024

Tags

CCSS.HSF.BF.B.5

Convert  $e^x=5$  

•  $\log_{10}x\ =\ 5$  

•  $\ln\left(x\right)\ =\ 5$  

•  $\ln\left(5\right)\ =\ x$  

•  $\log_5e\ =\ x$  

Tags

CCSS.HSF.BF.B.5

Which exponential needs to be converted in order to solve for "x"?

• 5³ = x

• 3^x = 81

• x⁴ = 16

• e² = 7

Convert and calculate $3^x=17$  to the nearest tenth

• 0.4

• 1.3

• 2.6

• 3.7

Tags

CCSS.HSF.LE.A.4

Convert and calculate $6^x=24$  to the nearest hundredth

• 0.56

• 0.94

• 1.35

• 1.77

Tags

CCSS.HSF.LE.A.4

Convert and calculate $e^x=15$  to the nearest hundredth

• 2.14

• 2.71

• 3.73

• 3.85

Tags

CCSS.HSF.LE.A.4

Convert and calculate $e^x=23$  to the nearest hundredth

• 3.12

• 3.13

• 3.14

• 3.15