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Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.)

log(x − 8) = 2

 Dec 9, 2019
 #1
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+1

Solve for x:
log(x - 8)/log(10) = 2

Multiply both sides by log(10):
log(x - 8) = 2 log(10)

2 log(10) = log(10^2) = log(100):
log(x - 8) = log(100)

Cancel logarithms by taking exp of both sides:
x - 8 = 100

Add 8 to both sides:

x = 108

 Dec 9, 2019
 #2
avatar+106539 
+1

In exponential form we have

 

10^2  =  x - 8

 

100  =  x  - 8       add 8 to both sides

 

108   =   x

 

 

cool cool cool

 Dec 9, 2019

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