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mary is solving the equation 5^x + 4 =11. her first steps are shown.

step 1. 5^x + 4 =11
step 2. 5^x =7
step3. In5^x=In7


which shows step 4?

A. In 5 = x In 7
B. x In 5 = In 7
C. ^-In 5 = In 7 * x
D. x = In 7 - In 5

Respuesta :

calculista

Answer:

Option B. x In 5 = In 7

Step-by-step explanation:

we have

[tex]5^{x}+4=11[/tex]

step 1

[tex]5^{x}+4=11[/tex]

step 2

Subtract 4 both sides

[tex]5^{x}+4-4=11-4[/tex]

[tex]5^{x}=7[/tex]

step 3

Apply ln both sides

[tex]ln(5^{x})=ln(7)[/tex]

step 4

[tex]xln(5)=ln(7)[/tex]

step 5

Divide by ln(5) both sides

[tex]x=ln(7)/ln(5)[/tex]

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